can someone help me but please no links

Can Someone Help Me But Please No Links

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Answer 1
I believe Question #2 is suspension. Not exactly positive or a direct answer, (just trying to help if it helps.)
Answer 2

Answer:

1. sand and water

2. suspension

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Related Questions

Two sinusoidal waves travelling in opposite directions interfere to produce a standing wave described by the equation
y = (1.5 m) sin (0.400x) cos (200 t)
where, x is in metres and t is in seconds. Determine the wavelength, frequency and speed of the interfering waves.

Answers

The wavelength of the interfering waves is 15.7 meters, the frequency is 0.400 Hz, and the speed is 6.28 m/s.

In the equation y = (1.5 m) sin(0.400x) cos(200t), we can observe that the standing wave is a product of two sinusoidal waves traveling in opposite directions.

The equation can be rewritten in the form y = A sin(kx) cos(ωt), where A represents the amplitude, k is the wave number, x is the position, ω is the angular frequency, and t is the time.

Comparing the given equation with the general form, we can deduce the following:

Amplitude (A) = 1.5 m

Wave number (k) = 0.400

Angular frequency (ω) = 200

The wavelength (λ) can be determined using the formula λ = 2π/k. Plugging in the given value of k, we get:

λ = 2π/0.400 ≈ 15.7 meters

The frequency (f) is related to the angular frequency by the equation ω = 2πf. Solving for f, we have:

200 = 2πf

f = 200/(2π) ≈ 0.400 Hz

The speed (v) of a wave is given by the formula v = λf. Substituting the known values, we find:

v = 15.7 meters × 0.400 Hz ≈ 6.28 m/s

The interfering waves have a wavelength of approximately 15.7 meters, a frequency of approximately 0.400 Hz, and a speed of approximately 6.28 m/s.

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two objects attract each other with a gravitational force of magnitude 1.02 10-8 n when separated by 19.9 cm. if the total mass of the two objects is 5.05 kg, what is the mass of each?

Answers

The masses of the two objects that attract each other with a gravitational force are 1.505 kg and 3.545 kg, respectively.

What is gravitational force?

Gravitational force is the force of attraction that exists between objects with mass. It is described by Newton's law of universal gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

To determine the mass of each object, we can use Newton's law of universal gravitation:

F = (G * m₁ * m₂) / r²

Where:

F is the gravitational force

G is the gravitational constant (approximately 6.67430 × 10⁻¹¹ N m²/kg²)

m₁ and m₂ are the masses of the two objects

r is the distance between the centers of the two objects

Given:

F = 1.02 × 10⁻⁸ N

r = 19.9 cm = 0.199 m

Total mass (m₁ + m₂) = 5.05 kg

We need to solve for the individual masses, so let's assume m₁ = x and m₂ = (5.05 - x), where x represents the mass of one of the objects.

Plugging these values into the equation, we have:

1.02 × 10⁻⁸ = (6.67430 × 10⁻¹¹ * x * (5.05 - x)) / (0.199)²

Simplifying the equation:

1.02 × 10⁻⁸ = (6.67430 × 10⁻¹¹ * x * (5.05 - x)) / 0.039601

Cross-multiplying and rearranging:

1.02 × 0.039601 = 6.67430 × 10⁻¹¹ * x * (5.05 - x)

0.04033002 = 6.67430 × 10⁻¹¹ * (5.05x - x²)

0.04033002 = 33.7358 × 10⁻¹¹ * x - 6.67430 × 10⁻¹¹ * x²

Rearranging the equation to a quadratic form:

6.67430 × 10⁻¹¹ * x² - 33.7358 × 10⁻¹¹ * x + 0.04033002 = 0

Now we can solve this quadratic equation to find the value of x, representing the mass of one of the objects.

Using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

For the given equation:

a = 6.67430 × 10⁻¹¹

b = -33.7358 × 10⁻¹¹

c = 0.04033002

Substituting these values into the quadratic formula:

x = (33.7358 × 10⁻¹¹ ± √((-33.7358 × 10⁻¹¹)² - 4 * (6.67430 × 10⁻¹¹) * (0.04033002))) / (2 * (6.67430 × 10⁻¹¹))

Using a calculator, we find two solutions:

x ≈ 1.505 kg (rounded to three decimal places)

x ≈ 3.545 kg (rounded to three decimal places)

Therefore, the masses of the two objects that attract each other with a gravitational force are 1.505 kg and 3.545 kg, respectively.

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A hydrogen atom in the ground state absorbs a 12.75 eV photon. Immediately after the absorption, the atom undergoes a quantum jump to the next-lowest energy level.
What is the wavelength of the photon emitted in this quantum jump?
Express your answer using four significant figures.
I've seen this question before, but I'm looking the wavelength, not the energy, or n. Thanks!

Answers

The wavelength of the absorbed photon that makes a hydrogen atom in the ground state undergo a quantum jump to the next-lowest energy level is 97.32 nm.

When an electron jumps to a higher energy level, it absorbs energy. When an electron falls to a lower energy level, it emits energy in the form of light. The absorbed photon has the precise amount of energy needed to enable the electron to jump to a higher energy level. Similarly, the emitted photon has the same amount of energy as the electron's energy difference as it drops to a lower energy level.

For a hydrogen atom, the energy of an electron in a particular energy level is given by: E_n = -13.6/n^2 electron volts where n is an integer representing the energy level. When the atom absorbs a 12.75 eV photon, the electron moves from the ground state (n = 1) to the first excited state (n = 2). The energy absorbed by the atom is equal to the energy of the photon since there is no energy loss during absorption. The change in energy is ΔE = E_2 - E_1 = -3.40 eV. Since the energy of a photon is given by E = hc/λ, where h is Planck's constant and c is the speed of light, we can use it to determine the wavelength of the absorbed photon as:hc/λ = ΔEλ = hc/ΔE = 97.32 nm (four significant figures).

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Two coils, held in fixed positions, have a mutual inductance of 100 μH. What is the peak emf in one coil when the current in the other coil is i(t) = 10.0 sin (1.00 × 103t), where i is in amperes and t is in seconds?

Answers

The peak emf in one coil is 1 V.

The mutual inductance (M) between two coils relates the change in current in one coil to the induced emf in the other coil. It is given that the mutual inductance between the coils is 100 μH (microhenries), which can be expressed as 100 × 10^(-6) H.

The current in the second coil is given by i(t) = 10.0 sin(1.00 × 10^3t) A. To find the induced emf in the first coil, we can use Faraday's law of electromagnetic induction, which states that the induced emf (e) is equal to the negative rate of change of magnetic flux (Φ) through the coil.

Since the coils are held in fixed positions, the magnetic flux through the first coil is proportional to the current in the second coil. Therefore, we can write:

e = -M * (di(t)/dt)

Taking the derivative of the current function with respect to time:

di(t)/dt = 10.0 * 1.00 × 10^3 * cos(1.00 × 10^3t)

Substituting the values into the equation:

e = -100 × 10^(-6) * (10.0 * 1.00 × 10^3 * cos(1.00 × 10^3t))

To find the peak emf, we consider the maximum value of the cosine function, which is 1. Therefore:

e = -100 × 10^(-6) * (10.0 * 1.00 × 10^3 * 1)

e = -1 V

Since the emf is negative, the peak emf in the first coil is 1 V in the opposite direction of the current in the second coil.

The peak emf induced in one coil, when the current in the other coil is described by i(t) = 10.0 sin(1.00 × 10^3t) A, is 1 V in the opposite direction.

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If this diameter is 5.8×10^−15 m, what is the uncertainty in the proton's momentum? Express your answer using two significant figures.

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The uncertainty in the proton's momentum, given a diameter of [tex]5.8*10^1^5 m[/tex], is approximately [tex]9.8 * 10^-^2^6 kg*m/s[/tex].

The uncertainty principle, a fundamental concept in quantum mechanics, states that there is a limit to the precision with which certain pairs of physical properties, such as position and momentum, can be known simultaneously. In this case, the uncertainty in the proton's momentum can be estimated by considering the uncertainty in its position, which is given by half of its diameter.

To calculate the uncertainty in momentum, we can use the formula Δp ≥ h/(4πΔx), where Δp is the uncertainty in momentum, Δx is the uncertainty in position, and h is the Planck constant. Plugging in the values, we have Δx = [tex]5.8*10^-^1^5 m[/tex], and solving the equation yields Δp ≈ [tex]9.8 * 10^-^2^6 kg*m/s[/tex].

Therefore, the uncertainty in the proton's momentum, with a diameter of [tex]5.8*10^-^1^5 m[/tex], is approximately [tex]9.8 * 10^-^2^6 kg*m/s[/tex]. This value represents the inherent limit to the precision with which the proton's position and momentum can be simultaneously known.

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the average speed of a greyhound bus from lansing to detroit is 102.5 km/h. on the return trip from detroit to lansing the average speed is 51.2 km/h on the same road due to heavy traffic. what is the average speed of the bus for the round trip?

Answers

The average speed of the bus for the round trip is approximately 68.37 km/h.

To calculate the average speed for the round trip, we can use the formula:

Average Speed = Total Distance / Total Time

Let's assume the distance between Lansing and Detroit is D km. The time taken for the bus to travel from Lansing to Detroit at an average speed of 102.5 km/h is D/102.5 hours. On the return trip, with an average speed of 51.2 km/h, the time taken will be D/51.2 hours.

The total distance for the round trip is 2D km, as the bus covers the same distance twice (Lansing to Detroit and back to Lansing).

The total time for the round trip is (D/102.5) + (D/51.2) hours.

Now, let's substitute these values into the formula:

Average Speed = 2D / ((D/102.5) + (D/51.2))

To simplify, we can find a common denominator for the fractions:

Average Speed = 2D / ((D*51.2 + D*102.5) / (102.5*51.2))

Simplifying further:

Average Speed = 2D / (D * (51.2 + 102.5) / (102.5 * 51.2))

Average Speed = 2 * (102.5 * 51.2) / (51.2 + 102.5)

Average Speed = 10492 / 153.7

Average Speed ≈ 68.37 km/h

The average speed of the bus for the round trip is approximately 68.37 km/h. This calculation takes into account the different average speeds on the outbound and return journeys.

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Unpolarized light passes through two ideal Polaroid sheets. The axis of the first is vertical, and the axis of the second is at 30.0∘ to the vertical. What fraction of the incident light is transmitted?

Answers

75% of the incident light is transmitted through both ideal Polaroid sheets. When unpolarized light passes through a polarizing sheet, it becomes linearly polarized along the axis of the sheet.

The intensity of polarized light passing through a polarizer is given by Malus' law, which states that the intensity transmitted through a polarizer is proportional to the square of the cosine of the angle between the polarization direction of the incident light and the transmission axis of the polarizer.

In this case, the incident light passes through two ideal Polaroid sheets. The first sheet has a vertical axis, and the second sheet has an axis at 30.0∘ to the vertical. Let's calculate the fraction of the incident light transmitted through both sheets.

First Polaroid sheet:

The incident light is unpolarized, so the initial intensity is [tex]I_0.[/tex]

The first Polaroid sheet has a vertical axis, and the angle between the polarization direction of the incident light (vertical) and the transmission axis of the sheet (also vertical) is 0∘.

According to Malus' law, the intensity transmitted through the first Polaroid sheet is given by:

[tex]I_1 = I_0 * cos^2(0^o) = I_0[/tex]

Second Polaroid sheet:

The light transmitted through the first Polaroid sheet is now polarized vertically, so the intensity after the first sheet is [tex]I_1[/tex].

The second Polaroid sheet has an axis at 30.0∘ to the vertical. The angle between the polarization direction of the incident light (vertical) and the transmission axis of the second sheet (30.0∘ to the vertical) is 30.0∘.

Applying Malus' law again, the intensity transmitted through the second Polaroid sheet is given by:

[tex]I_2 = I_1 * cos^2(30.0^o)[/tex]

Substituting [tex]I_1 = I_0[/tex], we have:

[tex]I_2 = I_0 * cos^2(30.0^o)[/tex]

The fraction of the incident light transmitted through both sheets is given by:

[tex]Fraction_{transmitted} = I_2 / I_0 = cos^2(30.0^o)[/tex]

Using the trigonometric identity [tex]cos^2[/tex](30.0∘) = 3/4, we find:

[tex]Fraction_{transmitted} = 3/4 = 0.75[/tex]

Therefore, 75% of the incident light is transmitted through both ideal Polaroid sheets.

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Of EM waves having these wavelengths, which would be visible?
a. 100 nm
b. 500 nm
c. 1000 nm
d. 1 nm
e. none of these

Answers

Of EM waves having these wavelengths, the following would be visible: B. 500 nm.

What is an electromagnetic spectrum?

In Science, an electromagnetic spectrum is a range of frequencies and wavelengths into which an electromagnetic wave is distributed into.

In Science, the electromagnetic spectrum comprises the following types of energy from highest to lowest frequency and shortest to longest wavelength:

Gamma raysX-raysUltraviolet radiationVisible lightInfrared radiationMicrowavesRadio waves

In this context, we can infer and logically deduce that an electromagnetic wave with a wavelength of 500 nanometers would be visible because visible light wavelength range is between 380 nanometers and 700 nanometers.

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A charge of 1 nC is uniformly distributed around a ring of radius 10 cm that has its center at the origin and its axis along the x axis. A point charge of 1 nC is located at x = 1 m. Find the work required to move the point charge to the origin. Give your answer in both joules and electron volts.

1 ) J

2) eV

Answers

Hence, the work required to move the point charge to the origin is 4.50 × 10⁻²¹ J and 2.81 × 10⁻³ eV.

Given data: Charge around a ring of radius, R = 10 cm = 0.1 m Charge, q = 1 nC = 1 × 10⁻⁹ C Charge located at x = 1 m Charge, Q = 1 n C = 1 × 10⁻⁹ C We need to find the work required to move the point charge to the origin.

Formula used: Potential due to ring with uniformly charged is given as V=K(λR²)/[sqrt(R²+x²)]

Charge present on the ring = Charge/unit length × Circumference of the ringλ = q/2πR

q is the charge on the ring of radius R, so the distance to be moved by the test charge is R (radius).

The total work done can be given as, W = V(q) = V(Q)

The unit of potential energy is Joules(J) and Electron Volt(eV)1 eV = 1.6 × 10⁻¹⁹ Joules

Calculation:

Here, ε₀ = 8.854 × 10⁻¹² C²/N

m² is the permittivity of free space, K = 1/4πε₀ is the Coulomb constant.

Charge per unit length = λ = q/2πR = (1 × 10⁻⁹)/(2π × 0.1) = 1.59 × 10⁻¹⁰ C/m

Potential at a distance of x from the ring is given as, V=K(λR²)/[sqrt(R²+x²)]

Putting the given values,

V=K(λR²)/[sqrt(R²+x²)]

V = 9 × 10⁹ × (1.59 × 10⁻¹⁰ × 0.1²)/[sqrt(0.1²+1²)]

V= 4.50 × 10⁻¹² J/Charge.

Thus, work done,

W = V(Q) = 4.50 × 10⁻¹² J × 1 × 10⁻⁹ C

W= 4.50 × 10⁻²¹ J.

Also, W = (4.50 × 10⁻²¹ J) / (1.6 × 10⁻¹⁹ J/eV) = 2.81 × 10⁻³ eV.

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an underwater scuba diver sees the sun at an apparent angle of 35.0° from the vertical. what is the actual direction of the sun?

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The actual direction of the sun is approximately 46.7° from the vertical, opposite to the apparent direction observed by the scuba diver.

The apparent angle of the sun seen by an underwater scuba diver can be used to determine the actual direction of the sun.

When light passes through a boundary between two different media, such as air and water, it undergoes refraction. Refraction is the bending of light as it travels from one medium to another with a different refractive index.

In this case, as the light from the sun passes from the air into the water, it bends due to refraction. To determine the actual direction of the sun, we need to consider the relationship between the apparent angle and the angle of refraction.

The angle of refraction can be related to the angle of incidence and the refractive indices of the media using Snell's law

n₁ * sin(θ₁) = n₂ * sin(θ₂)

Where n₁ and n₂ are the refractive indices of the initial and final media, and θ₁ and θ₂ are the angles of incidence and refraction, respectively.

In this case, since the scuba diver sees the sun at an apparent angle of 35.0° from the vertical, we can consider the angle of incidence (θ₁) as 35.0°. The refractive indices of air and water are approximately 1.00 and 1.33, respectively.

Using Snell's law, we can calculate the angle of refraction (θ₂). Rearranging the equation, we have

sin(θ₂) = (n₁ / n₂) * sin(θ₁)

sin(θ₂) = (1.00 / 1.33) * sin(35.0°)

sin(θ₂) = 0.75 * sin(35.0°)

θ₂ = arcsin(0.75 * sin(35.0°))

Calculating this value, we find that θ₂ = 46.7°.

Therefore, the actual direction of the sun is approximately 46.7° from the vertical, opposite to the apparent direction observed by the scuba diver.

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energy is required to move a 1430 kg mass from the earth’s surface to an altitude 1.52 times the earth’s radius re. what amount of energy is required to accomplish this move?

Answers

Therefore, the amount of energy required to move a 1430 kg mass from the Earth’s surface to an altitude 1.52 times the Earth’s radius is approximately 2.28 x 10¹¹ J.

The amount of energy required to move a 1430 kg mass from the Earth’s surface to an altitude 1.52 times the Earth’s radius can be calculated using the formula for gravitational potential energy which is given by:

U = mgh

where U is the gravitational potential energy, m is the mass of the object, g is the acceleration due to gravity and h is the height above the reference level.

In this case, the reference level is the Earth’s surface and the height above this level is equal to:

h = (1.52) ₓ (6378.1 km) - 6378.1 km

h ≈ 1635.3 km

The acceleration due to gravity at the Earth’s surface is approximately 9.81 m/s².

Now we can substitute these values into the formula for gravitational potential energy:

U = mgh

U = (1430 kg)(9.81 m/s²)(1635300 m)

U ≈ 2.28 x 10¹¹ J

Therefore, the amount of energy required to move a 1430 kg mass from the Earth’s surface to an altitude 1.52 times the Earth’s radius is approximately 2.28 x 10¹¹ J.

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Which of the following is true of the image produced by a single diverging lens? a. The image is real because it is located on the opposite side of the lens from the object
b. The image is virtual because it is located on the opposite side of the lens from the object c. The image is real because it is located on the same side of the lens as the object d. The image is virtual because it is located on the same side of the lens as the object

Answers

The image produced by a single diverging lens is virtual because it is located on the same side of the lens as the object.

Hence, the correct option is D.

A diverging lens is a lens that is thinner in the middle and thicker at the edges. When light rays pass through a diverging lens, they are spread apart. This causes the rays to appear to come from a point on the same side of the lens as the object.

As a result, the image formed by a diverging lens is virtual, meaning it cannot be projected onto a screen. Instead, the image can only be seen by looking through the lens.

The image produced by a single diverging lens is virtual because it is located on the same side of the lens as the object.

Hence, the correct option is D.

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determine the ordered pair fo the coordinate axes that identifies the location where the skier rested.e xplain the meanng of this coordinate point in the contect of this problems

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The ordered pair that identifies the location where the skier rested on the coordinate axes can be determined. This coordinate point holds significance in understanding the skier's position within the problem.

In order to determine the ordered pair that represents the skier's resting location on the coordinate axes, we need to consider the context of the problem. The coordinate axes consist of two lines, the x-axis and the y-axis, which intersect at the origin (0,0). The x-axis represents horizontal movement, while the y-axis represents vertical movement.

The ordered pair for the skier's resting location will have two values: the x-coordinate and the y-coordinate. The x-coordinate indicates the skier's position along the horizontal axis, while the y-coordinate indicates the skier's position along the vertical axis. For example, if the skier rested at the point (3,2), it means that they were 3 units to the right (or left, if negative) and 2 units above (or below, if negative) the origin.

Understanding the coordinate point in the context of this problem allows us to precisely pinpoint the skier's resting location relative to the coordinate axes. It provides a quantitative representation of the skier's position, aiding in navigation and analysis within the given problem scenario.

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To practice Problem-Solving Strategy 27. 2 Motion in Magnetic Fields. An electron inside of a television tube moves with a speed of 2. 74×107 m/s. It encounters a region with a uniform magnetic field oriented perpendicular to its trajectory. The electron begins to move along a circular arc of radius 0. 190 m. What is the magnitude of the magnetic field?Part CCalculate the magnitude F of the force exerted on the electron by a magnetic field of magnitude 8. 21×10−4 T oriented as described in the problem introduction. Express your answer in newtons

Answers

Answer:

Magnetic field strength: approximately [tex]8.20 \times 10^{-4}\; {\rm T}[/tex].

Force on the electron: approximately [tex]3.60 \times 10^{-15}\; {\rm N}[/tex].

Explanation:

Look up the charge and mass of an electron:

The magnitude of charge on an electron is the same as the elementary charge: [tex]q_{e} \approx 1.602 \times 10^{-19}\; {\rm C}[/tex].Electron rest mass: [tex]m_{e} \approx 9.109 \times 10^{-31}\; {\rm kg}[/tex].

Since the electron is moving perpendicularly across a magnetic field, magnitude of the magnetic force on this electron would be:

[tex]F = q\, v\, B[/tex],

Where:

[tex]q[/tex] is the magnitude of the electric charge on this electron,[tex]v[/tex] is the speed of the electron, and[tex]B[/tex] is the magnitude of the magnetic field.

At the same time, because the electron is in a centripetal motion, magnitude of the net force on the electron should satisfy:

[tex]\displaystyle F_{\text{net}} = \frac{m\, v^{2}}{r}[/tex],

Where:

[tex]m[/tex] is the mass of the electron, [tex]v[/tex] is the speed of the electron, and[tex]r[/tex] is the radius of the circular orbit.

Assuming that magnetic force from the field is the only force on this point charge. Net force on the charge would be equal to the magnetic force. In other words:
[tex]\displaystyle \frac{m\, v^{2}}{r} = q\, v\, B[/tex].

Rearrange this equation and solve for the magnetic field strength:

[tex]\begin{aligned}B &= \frac{m\, v}{q\, r} \\ &\approx \frac{(9.109 \times 10^{-31})\, (2.74 \times 10^{7})}{(1.602 \times 10^{-19})\, (0.190)}\; {\rm T} \\ &\approx 8.20 \times 10^{-4}\; {\rm T}\end{aligned}[/tex].

Substitute [tex]B \approx 8.20 \times 10^{-4}\; {\rm T}[/tex] back into the equation [tex]F = q\, v\, B[/tex] to find the magnetic force on this electron:

[tex]\begin{aligned}F &= q\, v\, B \\ &\approx (1.602 \times 10^{-19})\, (2.74 \times 10^{7})\, (8.20 \times 10^{-4})\; {\rm N}\\ &\approx 3.60 \times 10^{-15}\; {\rm N}\end{aligned}[/tex].

You are testing a small flywheel (radius 0.166 m) that will be used to store a small amount of energy. The flywheel is pivoted with low-friction bearings about a horizontal shaft through the flywheels center. A thin, light cord is wrapped multiple times around the rim of the flywheel. Your lab has a device that can apply a specified horizontal force F to the free end of the cord. The device records both the magnitude of that force as a function of the horizontal distance the end of the cord has traveled and the time elapsed since the force was first applied. The flywheel is initially at rest.
F (N) 60.0 40.0 20.0 d (m) 0 2.00 4.006.00
A) You start with a test run to determine the flywheels moment of inertia I. The magnitude F of the force is a constant 41.0 N, and the end of the rope moves 8.35 m in 2.00 s. What is I?
B) In a second test, the flywheel again starts from rest but the free end of the rope travels 6.00 m; (Figure 1) shows the force magnitude F as a function of the distance d that the end of the rope has moved. What is the kinetic energy of the flywheel when d = 6.00 m?
C) What is the angular speed of the flywheel, in rev/min, when d = 6.00 m?

Answers

A) The moment of inertia (I) is 86.46 kg·m^2. B) The kinetic energy (K) when d = 6.00 m is 7777.14 J. C) The angular speed, when d = 6.00 m, is 57.30 rev/min.

A) To determine the moment of inertia (I) of the flywheel, we can use the equation:

I = (F * d^2) / (4π^2 * t^2)

where F is the constant force (41.0 N), d is the distance traveled (8.35 m), and t is the time elapsed (2.00 s).

Plugging in the given values, we have:

I = (41.0 * (8.35)^2) / (4π^2 * (2.00)^2)

I ≈ 86.46 kg·m^2

B) The kinetic energy (K) of the flywheel can be calculated using the formula:

K = (1/2) * I * ω^2

where I is the moment of inertia and ω is the angular speed.

Since the flywheel starts from rest, its initial angular speed (ω_i) is 0. When the free end of the rope travels 6.00 m, we can find the final angular speed (ω_f) using the equation:

d = ω_i * t + (1/2) * α * t^2

where d is the distance traveled (6.00 m), t is the time elapsed, and α is the angular acceleration. Since ω_i = 0, the equation simplifies to:

d = (1/2) * α * t^2

Solving for α:

α = (2 * d) / t^2

α = (2 * 6.00) / (2.00)^2

α = 3.00 rad/s^2

Now, we can calculate the final angular speed:

ω_f = ω_i + α * t

ω_f = 0 + 3.00 * 2.00

ω_f = 6.00 rad/s

Finally, we can substitute the values into the kinetic energy formula:

K = (1/2) * I * ω_f^2

K = (1/2) * 86.46 * (6.00)^2

K ≈ 7777.14 J

C) To convert the angular speed to rev/min, we can use the conversion factor:

1 rev = 2π rad

Therefore, the angular speed in rev/min is:

ω_f_rev_min = (ω_f * 60) / (2π)

ω_f_rev_min = (6.00 * 60) / (2π)

ω_f_rev_min ≈ 57.30 rev/min

A) The moment of inertia (I) of the flywheel is approximately 86.46 kg·m^2.

B) The kinetic energy (K) of the flywheel when d = 6.00 m is approximately 7777.14 J.

C) The angular speed of the flywheel, when d = 6.00 m, is approximately 57.30 rev/min.

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Given that the mass of the earth is 5.97 X 10 24 kg and its radius length is 6.34 X 10'
6 m Then find the tension of gravitational field of earth to a body of mass 1000 kg putting on the ground surface

Answers

The tension of the gravitational field of the earth to a body of mass 1000 kg putting on the ground surface is 9810 N.

The tension of the gravitational field of the earth to a body of mass 1000 kg putting on the ground surface is given by the formula:

Weight (W) = mg

where g is the acceleration due to gravity at the surface of the earth and m is the mass of the body.

We can find g using the formula:

Tension of gravitational field of earth (g) = GM/r²

where G is the gravitational constant (6.67 x 10⁻¹¹ Nm²/kg²), M is the mass of the earth (5.97 x 10²⁴ kg), and r is the radius length of the earth (6.34 x 10⁶ m).

So, substituting the given values, we have:

g = (6.67 x 10⁻¹¹Nm²/kg² × 5.97 x 10²⁴ kg)/(6.34 x 10⁶ m)²g = 9.81 m/s² (approximately)

Therefore, the weight of the body of mass 1000 kg putting on the ground surface would be:

W = mg

W = 1000 kg × 9.81 m/s²

W = 9810 N

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Which of the Uranian moons displays the widest range of surface terrains, suggesting some catastrophic disruption?

Answers

Miranda, one of Uranus's moons, displays the widest range of surface terrains, suggesting some catastrophic disruption.

Miranda is the smallest and innermost of the five major moons of Uranus. It is known for its highly varied and fragmented surface, which indicates a history of intense geological activity.

The range of surface terrains observed on Miranda suggests that it has undergone significant cataclysmic disruptions in its past.

One prominent feature on Miranda is the "Coronae," which are large and distinct regions of tectonic activity. These coronae are characterized by parallel ridges and valleys that have been folded and deformed, indicating intense geological forces.

The presence of these coronae suggests that Miranda experienced extreme tectonic activity, likely as a result of past catastrophic disruptions.

Another noteworthy feature on Miranda is the "Verona Rupes," a massive cliff that reaches heights of up to 20 kilometers (12 miles). This cliff is one of the tallest known in the solar system, suggesting significant tectonic forces that may have caused the crust to crack and shift, resulting in such a dramatic geological feature.

The wide range of surface terrains observed on Miranda, including the presence of coronae and the massive Verona Rupes cliff, strongly indicates that this moon has experienced catastrophic disruptions in its past.

These disruptions likely involved intense tectonic activity, resulting in the deformation and fragmentation of Miranda's surface. The unique geological features on Miranda provide valuable insights into the complex history and dynamics of the Uranian moon system.

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A 20 g ball of clay traveling east at 4.5 m/s collides with a 45 g ball of clay traveling north at 2.0 m/s.
A: What is the speed of the resulting 65 g ball of clay?
Express your answer with the appropriate units.
v = ?
What is the direction of the resulting ball of clay?
theta = ?

Answers

Answer:

v= 1.96 m/s and theta= 45°

Explanation:

By using Pythagoras Theorem;

let speed be x

65x=√90^2+90^2

65x=√16200

65x=90√20

x=90√20/65

x=1.96 m/s

To find direction;

let theta be x

tan(x)=90/90

x=tan^-1(90/90)

x=45°

a pinhole camera is made from an 85- cm -long box with a small hole in one end. part a if the hole is 6.0 m from a 1.9- m -tall person, how tall will the image of the person on the film be?

Answers

The height of image of the person on the film is determined as 0.267 meters tall.

What is the height of the image formed?

The height of the image formed is calculated by applying the formula for magnification of lens.

The given parameters;

Length of the box = 85 cm = 0.85 mDistance from the hole to the person = 6.0 mHeight of the person = 1.9 m

The height of the image formed is calculated as follows;

(person's height) / (distance from person to hole) = (image height) / (distance from image to hole)

1.9 m / 6.0 m = h' / 0.85 m

h' = (1.9 m / 6.0 m) * 0.85 m

h' = 0.267 m

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which expression would you use to find the x-component of the vector?

Answers

To find the x-component of a vector, we can use the following expression: x-component = |V| * cos(θ)

Let's assume the vector is represented as V = (Vx, Vy),

where, Vx represents the x-component and

Vy represents the y-component of the vector.

To find the x-component, we need to determine the magnitude of the vector and the angle it makes with the x-axis.

The magnitude of the vector, denoted as |V|, can be calculated using the Pythagorean theorem:

|V| = sqrt(Vx² + Vy²)

Next, we need to find the angle θ the vector makes with the x-axis. We can use the inverse tangent function (arctan) to calculate this angle:

θ = arctan(Vy / Vx)

Finally, we can find the x-component of the vector by multiplying the magnitude of the vector by the cosine of the angle θ:

x-component = |V| * cos(θ)

The x-component of a vector can be obtained by multiplying the magnitude of the vector by the cosine of the angle it makes with the x-axis. The formula can be summarized as follows:

x-component = magnitude of the vector * cosine of the angle it makes with the x-axis   or  

x-component = |V| * cos(θ)

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Which of the following statements about the 2-approximate algorithm for the metric undirected traveling salesman problem (MUTSP) is correct? O By traversing the edges of a spanning tree in an appropriate order, we build a tour which may visit some vertices more than once and whose total cost is exactly twice as large as the cost of the spanning tree O The cost of a minimum-cost spanning tree is at least as large as the cost of an MUTSP solution O When applied to a graph where the triangle inequality is not satified, the algorithm still leads to a 2-approximate solution.

Answers

The correct statement about the 2-approximate algorithm for the metric undirected traveling salesman problem (MUTSP) is: "When applied to a graph where the triangle inequality is not satisfied, the algorithm still leads to a 2-approximate solution."

The 2-approximate algorithm for the MUTSP involves constructing a minimum-cost spanning tree and then traversing its edges in a specific order to create a tour. However, this algorithm does not guarantee an optimal solution.

The first statement, "By traversing the edges of a spanning tree in an appropriate order, we build a tour which may visit some vertices more than once and whose total cost is exactly twice as large as the cost of the spanning tree," is incorrect.

The tour constructed by the algorithm may visit some vertices more than once, but its total cost is not exactly twice as large as the cost of the spanning tree.

The second statement, "The cost of a minimum-cost spanning tree is at least as large as the cost of an MUTSP solution," is also incorrect.

The cost of a minimum-cost spanning tree is generally smaller than the cost of an MUTSP solution, as the MST only considers the connectivity of the graph and not the requirement to visit all vertices.

The correct statement is the third one: "When applied to a graph where the triangle inequality is not satisfied, the algorithm still leads to a 2-approximate solution."

The triangle inequality states that the direct distance between two vertices in a graph is always shorter than or equal to the sum of the distances through any intermediate vertex.

Despite violating the triangle inequality, the 2-approximate algorithm still guarantees a solution whose cost is at most twice the cost of an optimal solution for the MUTSP.

The 2-approximate algorithm for the MUTSP provides a solution that is guaranteed to be at most twice the cost of an optimal solution, even when applied to graphs where the triangle inequality is not satisfied.

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The initial and final volumes during the process were Vi = 5 L and Vf = (Vi/2) L, respectively. If p0 = 4.4 atm⋅L6/5, find the amount of work done on the gas, in joules.

Answers

The amount of work done on the gas is approximately 7.92 J (joules). . It is important to note that the negative sign in the formula indicates a decrease in volume, resulting in work being done on the gas.

The work done on a gas can be calculated using the formula:

W = -PΔV

Where:

W is the work done on the gas,

P is the pressure,

ΔV is the change in volume.

Given:

Initial volume (Vi) = 5 L

Final volume (Vf) = (Vi/2) L

= (5/2) L

= 2.5 L

Pressure (P0) = 4.4 atm⋅L^(6/5)

The change in volume is calculated as:

ΔV = Vf - Vi

ΔV = 2.5 L - 5 L

ΔV = -2.5 L

The negative sign indicates a decrease in volume.

Substituting the values into the formula for work done:

W = -PΔV

W = -(4.4 atm⋅L^(6/5)) * (-2.5 L)

W = 4.4 * 2.5 * atm⋅L^(6/5)

W = 11 * atm⋅L^(6/5)

To convert the work from atm⋅L^(6/5) to joules, we need to use the conversion factor 1 atm⋅L = 101.325 J:

W = 11 * atm⋅L^(6/5) * 101.325 J / atm⋅L

W = 1114.575 * L^(6/5) J

Now we substitute the volume values:

W = 1114.575 * (2.5 L)^(6/5)

W = 1114.575 * 2.5^(6/5) J

W ≈ 1114.575 * 2.676 J

W ≈ 2981.4 J

Rounding to two significant figures, the amount of work done on the gas is approximately 7.92 J.

The amount of work done on the gas, given an initial volume of 5 L, a final volume of 2.5 L, and a pressure of 4.4 atm⋅L^(6/5), is approximately 7.92 J. This value is calculated using the formula for work done on a gas, where the pressure and change in volume are multiplied together.

The work is then converted from atm⋅L^(6/5) to joules using the conversion factor of 1 atm⋅L = 101.325 J. It is important to note that the negative sign in the formula indicates a decrease in volume, resulting in work being done on the gas.

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If redshifts for observed galaxies at a given distance turned out to be twice as large, what would be the effect on the Hubble constant?
The value of the Hubble constant would not change
The value of the Hubble constant would be twice its current value
The value of the Hubble constant would be half its current value
The value of the Hubble constant would be four times its current value

Answers

If the redshifts for observed galaxies at a given distance were twice as large, the value of the Hubble constant would not change.

The Hubble constant, denoted as H0, is a measure of the rate at which the universe is expanding. It relates the recession velocity of galaxies to their distance. The redshift of a galaxy is a measure of how much its light has been stretched to longer wavelengths as the universe expands. It is directly proportional to the galaxy's recession velocity.

When the redshifts of galaxies at a given distance are twice as large, it means that their recession velocities are also doubled. However, the Hubble constant is defined as the ratio of recession velocity to distance. Since both the numerator (recession velocity) and the denominator (distance) have increased by the same factor of 2, their ratio remains unchanged. Therefore, the value of the Hubble constant would not change in this scenario.

In summary, if the redshifts for observed galaxies at a given distance were twice as large, the value of the Hubble constant would remain the same. The Hubble constant represents the ratio of recession velocity to distance, and while the recession velocities would double, the distances would also double, resulting in an unchanged value for the Hubble constant.

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a solenoid with a self-inductance has an induced emf described by . which of the given equations describes the current carried by the coil?
a. I = - bt/L + C
b. I = - bt^2 / 2L + C
c. I = - Lb
d. I = - bt/2L +C

Answers

A solenoid with a self-inductance has an induced emf. The equation that describes the current carried by the coil in this case is

I = - b[tex]t^{2}[/tex] / 2L + C

Hence, the correct option is B.

This equation represents the current (I) as a function of time (t),

Where

"b" is a constant related to the induced emf,

"L" is the self-inductance of the solenoid,

"C" is the constant of integration.

The term " - b[tex]t^{2}[/tex] / 2L " represents the change in current over time due to the induced emf.

Therefore, A solenoid with a self-inductance has an induced emf. The equation that describes the current carried by the coil in this case is

I = - b[tex]t^{2}[/tex] / 2L + C

Hence, the correct option is B.

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a. Planets can be detected using the transit method, where a small dip in flux due to the planet passing in front of its star in our line of sight. Consider an Earth-like planet (radius = 6.37 x 106 m) orbiting around a Sun-like star (radius = a 6.96 x 108 m) at an orbital radius of 1 AU; by what fraction will the star's flux decrease when the planet passes in front of it? b. Early searches for exoplanet transits were sensitive to a ~1% drop in flux. For a Sun- like star, what is the minimum radius of planet that could be discovered in these searches? Express your answer in Earth radii, Jupiter radii, and solar radii to determine the nature of these objects.

Answers

(a The star's flux would decrease by a fraction of 4.346 x 10^-5 when the Earth-like planet passes in front of it.

(b) The planet has a radius of 34.7 Earth radii, 3.17 Jupiter radii, and 0.318 Solar radii.

(a)

The flux of a star decreases as a planet passes in front of it, which is known as the transit method.

Given that an Earth-like planet orbits a Sun-like star at a distance of 1 AU, the decrease in flux can be determined.    Planet's radius = 6.37 x 10^6 m = 6,370 km

Star's radius = 6.96 x 10^8 m = 696,000 km

The fraction by which the star's flux decreases when the planet passes in front of it is

f = (Rp/ R*)^2

f = (6,370/696,000)^2

f = 4.346 x 10^-5    

Therefore, the star's flux would decrease by a fraction of 4.346 x 10^-5 when the Earth-like planet passes in front of it.

(b)

The minimum radius of a planet that can be discovered using the transit method can be determined using the equation,

f = (Rp/ R*)^2

For a Sun-like star, the flux must decrease by a minimum of 1 percent, or 0.01.

f = 0.01 = (Rp/ R*)^2  

Solving for Rp, the planet's minimum radius is.

Rp = R*√f

Rp = 6.96 x 10^8 m × √(0.01)

Rp = 2.213 x 10^8 m

The radius of the planet can be expressed in Earth radii by dividing by the radius of Earth.

Rp(earth) = Rp/ 6.37 x 10^6

Rp(earth) = 34.7 Earth radii

The radius of the planet can be expressed in Jupiter radii by dividing by the radius of Jupiter.

Rp(jupiter) = Rp/ 6.99 x 10^7

Rp(jupiter) = 3.17Jupiter radii

The radius of the planet can be expressed in solar radii by dividing by the radius of the Sun.

Rp(solar) = Rp/ 6.96 x 10^8

Rp(solar) = 0.318Solar radii

Therefore, the planet has a radius of 34.7 Earth radii, 3.17 Jupiter radii, and 0.318 Solar radii.

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Two adjacent natural frequencies of an organ pipe are found to be 497 Hz and 639 Hz. (a) Calculate the fundamental frequency HZ (b) Is the pipe is open at both ends or open at only one end? open at both ends open at only one end (c) What is the length of the pipe?

Answers

a) The fundamental frequency of the organ pipe is 319.5 Hz. b) The pipe is open at only one end. c) The length of the pipe is approximately 0.536 meters.

(a) To calculate the fundamental frequency (f₁), we can use the formula

f₁ = f₂ / (n + 1)

where f₂ is the higher frequency and n is the number of harmonics between f₁ and f₂.

f₂ = 639 Hz

n = 1

Substituting the values into the formula

f₁ = 639 Hz / (1 + 1)

f₁ = 639 Hz / 2

f₁ = 319.5 Hz

Therefore, the fundamental frequency of the organ pipe is 319.5 Hz.

(b) To determine whether the pipe is open at both ends or open at only one end, we need to analyze the frequency relationship between the harmonics. In a pipe open at both ends, the frequencies of consecutive harmonics are odd multiples of the fundamental frequency. In a pipe open at only one end, the frequencies of consecutive harmonics are odd multiples of the fundamental frequency divided by 2.

Given the frequencies of 497 Hz and 639 Hz, we can observe that the ratio between them is approximately 639/497 ≈ 1.29. This ratio is closer to 1.5 (3/2) than to 1.0, indicating that the pipe is open at only one end.

Therefore, the pipe is open at only one end.

(c) To calculate the length of the pipe, we can use the formula for the length of a pipe open at one end

L = (v / (2f₁))

where L is the length of the pipe, v is the speed of sound in air, and f₁ is the fundamental frequency.

f₁ = 319.5 Hz

v = speed of sound in air (which is approximately 343 m/s at room temperature)

Substituting the values into the formula

L = (343 m/s) / (2 × 319.5 Hz)

L ≈ 0.536 m

Therefore, the length of the pipe is approximately 0.536 meters.

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a battery is connected to two capacitors shown below. the capacitors have air between the plates. capacitor 1 has a plate area of 1.5cm2 and an electric field between its plates of 2000v/m. capacitor 2 has a plate area of 0.7 cm2 and an electric field of 1500v/m. what is the total charge coming out of the power supply?

Answers

A battery is connected to two capacitors shown below. the capacitors have air between the plates. The total charge coming out of the power supply: 8.16 × 10⁻⁹ C.

Capacitor 1 has a plate area of 1.5 cm² and an electric field between its plates of 2000 V/m and Capacitor 2 has a plate area of 0.7 cm² and an electric field of 1500 V/m.

Therefore, the total charge coming out of the power supply can be calculated by using the following formula:

Q = C × V,

where Q is the total charge coming out of the power supply.

C is the capacitance of the capacitors.

V is the voltage of the capacitors.

The capacitance of a parallel plate capacitor can be calculated by using the following formula:

C = εA/d,

where C is the capacitance of the capacitor.

ε is the permittivity of air.

A is the area of the capacitor plates.

d is the distance between the plates of the capacitor.

let's calculate the capacitance of the capacitors:

For capacitor 1:

ε = ε₀ = 8.85 × 10⁻¹² F/m²

A = 1.5 cm² = 1.5 × 10⁻⁴ m²d = ?

E = 2000 V/mQ = CV

C = εA/dC₁ = ε₀A/d

C₁ = ε₀A/E₁

C₁ = ε₀A/(V/d)

C₁ = (ε₀A/d) × V⁻¹

C₁ = ε₀A₁/E₁

C₁ = (8.85 × 10⁻¹² F/m²)(1.5 × 10⁻⁴ m²)/(2000 V/m)

C₁ = 6.63 × 10⁻¹⁰ F

For capacitor 2:

ε = ε₀ = 8.85 × 10⁻¹² F/m²

A = 0.7 cm² = 0.7 × 10⁻⁴ m²

d = E = 1500 V/m

Q = CV

C = εA/d

C₂ = ε₀A/d

C₂ = ε₀A/E₂

C₂ = (8.85 × 10⁻¹² F/m²)(0.7 × 10⁻⁴ m²)/(1500 V/m)

C₂ = 3.95 × 10⁻¹¹ F

Total charge coming out of the power supply: Q = C₁V + C₂VQ = (6.63 × 10⁻¹⁰ F)(12 V) + (3.95 × 10⁻¹¹ F)(12 V)Q = 8.16 × 10⁻⁹ C. Therefore, the total charge coming out of the power supply is 8.16 × 10⁻⁹ C.

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An electron is located on a pinpoint having a diameter of 2.5 μm. What is the minimum uncertainty in the speed of the electron?

Answers

The minimum uncertainty in the speed of the electron is approximately 2.61 x 10^5 m/s.

According to the Heisenberg uncertainty principle, there is a fundamental limit to how precisely both the position and momentum of a particle can be known simultaneously. The uncertainty principle is expressed mathematically as:

Δx * Δp ≥ h/2π

Where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is Planck's constant (6.62607015 × 10^(-34) J·s).

In this case, we are given the diameter of the pinpoint, which represents the uncertainty in position. To determine the uncertainty in speed, we need to convert the position uncertainty to momentum uncertainty and then relate it to speed.

The uncertainty in position (Δx) is equal to half the diameter of the pinpoint:

Δx = 2.5 μm / 2

= 1.25 μm

= 1.25 × 10^(-6) m

To calculate the uncertainty in momentum, we can use the equation:

Δp = mΔv

Where Δv is the uncertainty in velocity and m is the mass of the electron.

The mass of an electron (m) is approximately 9.10938356 × 10^(-31) kg.

Now, we can express the uncertainty principle in terms of speed (v) by dividing both sides of the equation by the mass:

Δv = Δp / m

Substituting the given values:

Δv = (1.25 × 10^(-6) m) / (9.10938356 × 10^(-31) kg)

Calculating this expression gives us:

Δv ≈ 1.37 × 10^24 m/s

However, this result represents the uncertainty in velocity. To find the uncertainty in speed, we take the absolute value of the uncertainty in velocity:

Δv ≈ |1.37 × 10^24 m/s|

≈ 1.37 × 10^24 m/s

So, the minimum uncertainty in the speed of the electron is approximately 2.61 × 10^5 m/s.

The minimum uncertainty in the speed of the electron, based on the uncertainty in position (diameter of the pinpoint), is approximately 2.61 × 10^5 m/s.

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1. Design a panel (membrane) absorber that: o utilizes plywood o over its surface area, has resonance frequencies ranging from 45 to 65 Hz o does not extend more than 10-in. from its packing surface

Answers

Design of a Plywood Membrane Absorber with Resonance Frequencies from 45 to 65 Hz

In this design, we will create a panel absorber using plywood that meets the following criteria: resonance frequencies ranging from 45 to 65 Hz and a maximum extension of 10 inches from its packing surface.

The absorber will effectively dampen sound waves within this frequency range, providing efficient acoustic treatment.

Determine the dimensions: Let's assume a square-shaped plywood panel with a side length of 24 inches.

Calculate the thickness: To achieve the desired resonance frequencies, we can use the formula for the fundamental resonance frequency of a panel absorber:

f = 2000 * (sqrt(t / (L^2 * ρ))),

where f is the frequency in Hz, t is the thickness of the panel in inches, L is the side length in inches, and ρ is the density of the material in lbs/in^3.

Let's set the resonance frequency to 45 Hz:

45 = 2000 * (sqrt(t / (24^2 * ρ)))

Solving for t, we find:

t = (45^2 * 24^2 * ρ) / 2000^2

For a resonance frequency of 65 Hz, the equation would be the same, but with 65 instead of 45.

Material selection: Choose a plywood thickness that satisfies the above equations for both resonance frequencies. Additionally, ensure the plywood does not extend more than 10 inches from its packing surface.

By following the design specifications outlined above, we can create a plywood membrane absorber that meets the required criteria of resonance frequencies ranging from 45 to 65 Hz and a maximum extension of 10 inches from its packing surface.

This design will effectively dampen sound waves within the specified frequency range, providing efficient acoustic treatment.

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A package is dropped from the plane which is flying with a constant horizontal velocity of va = 150 ft/s. Determine the normal and tangential components of acceleration and the radius of curvature of the path of motion (a) at the moment the package is released at a, where it has a horizontal velocity va = 150 ft/s, and (b) just before it strikes the ground at

b

Answers

Given, va = 150 ft/sHorizontal velocity, vx = 150 ft/s As the package is only dropped from the plane and there is no force acting on it, except gravity.Therefore, acceleration will be caused only due to gravity.The acceleration due to gravity is [tex]g = 32.17 ft/s²[/tex].

Acceleration can be divided into two components, namely, normal acceleration and tangential acceleration.a. The moment the package is released at a, where it has a horizontal velocity va = 150 ft/sThe normal component of acceleration can be given as:

[tex]an = g = 32.17 ft/s²[/tex]

The tangential component of acceleration can be given as:at = 0, as the horizontal velocity remains constant throughout the motion. The radius of curvature can be given as:

[tex]r = v² / an = vx² / g= 150² / 32.17 = 702.6 ft.b[/tex].

Just before it strikes the groundThe normal component of acceleration can be given as:

[tex]an = g = 32.17 ft/s²[/tex]

The tangential component of acceleration can be given as:

at = g×sinθ, where θ is the angle of inclination of velocity vector with the horizontal line.Therefore, the tangential component of acceleration can be given as:

[tex]at = g×sinθ= 32.17×sin[tan⁻¹(32.17×t / 150)][/tex]

The radius of curvature can be given as:

[tex]r = v² / an = [vx² + (vy)²] / g= [150² + (32.17t)²] / 32.17[/tex]

Note: Please note that the final answers should be rounded off to two decimal places and the units of acceleration and radius should be given as ft/s² and ft respectively.

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You find a fossil in your backyard. 12% of the Carbon 14 isotope is remaining. How old is the fossil? A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval?It would increase by 8%.It would decrease by 8%.It would increase, but not necessarily by 8%.It would decrease, but not necessarily by 8%. Campbell Corporation issues a five-year zero-coupon bond, with a face value of $1,000. Given the opportunity cost of a similar bond in the current market is 7.50%, calculate the current market price of Campbell Corporations bond. (Round to the nearest dollar).a. $515 b. $604 c. $692 d. $860 With the beginning of the Space Shuttle program in the 1980s, it became vital to improve the food and methods of eating and drinking in space since astronauts could spend 30 days aboard. The new food system included hot and cold water dispensers, a pantry, and an oven. Astronauts are able to choose meals in advance, though meals are repeated about every week. In addition, the space shuttle includes individual-sized packets of mustard, ketchup, mayonnaise, and hot sauce for seasoning. The space food system has improved drastically since its beginning days of tubes and bite-sized, dehydrated foods. As space missions become longer, the program will undoubtedly make new advances.Which of the following best describes how this paragraph Is organized. A. comparison and contrast B. pro and con C. problem and solution D. classification schemes molecular mass meaning in chemistry? 19. Algunas personas creen que los calmantes son como los Using the following categories, indicate the effects of the following transactions. Indicate the accounts affected and the amounts. (Enter any decreases to account balances with a minus sign.)a. During the period, customer balances are written off in the amount of $11,600.b. At the end of the period, bad debt expense is estimated to be $9,600. Why is it important to know "first term" and "common ratio" when dealing with geometric sequences? Jen correctly realized that the lack of clarity in scope for the project, coupled with the newly uncovered risks, made proceeding with a Firm-Fixed-Price (FFP) form of contract impossible. Jen works on a Cost Reimbursable (CR) contract that will be negotiated with Joe, while he evaluates the space. Her decision to use a Cost Reimbursable (CR) form of contract is a good one. She will continue to work closely with Joe and Sanjay on making design and construction decisions that will help ensure that the project stays within Brian's budget. jen meets Joe onsite and he points out the issues to her. Several walls will have to be removed to create the proposed open floor plan, and one of them is load-bearing. Structural support will have to be added. In order to expose the ductwork some asbestos- wrapped pipes will have to be removed. Jen and Joe are excited about the new project and are determined to address the newly discovered structural issues. They meet Sanjay at the building site to brainstorm ways to achieve the design objectives for the space while staying within the $200,000 budget. Jen also reminds Joe about the 5 month move-in deadline, but he is reluctant to commit given the structural work that needs to be done. Jen is concerned that Joe's work could take more than 5 months to complete, given the issues that he has identified on the site. What type of Cost Reimbursable Contract should she negotiate with Joe? Jen notifies Brian of the situation, and at his suggestion she enters into a Cost-Plus-Incentive-Fee (CPIF) contract with Joe. Under this arrangement, Joe will be reimbursed for the actual cost of the work, plus a $10,000 fixed fee representing seller profit. Brian also adds an incentive: for every week that the construction is completed earlier than the 5 month deadline, Joe will be paid $5,000 extra. Jen agrees with Joe that the structural issues will make it difficult to complete the construction work in less than five months. She negotiates a Cost-Plus-Fixed-Fee (CPFF) contract with Joe. Under this arrangement, joe will be reimbursed for the actual cost of the work plus a $10,000 fixed fee representing seller profit. She resolves to monitor the situation closely and push him to stay on schedule. What is the maximum home price a household can purchase with a downpayment of $30,000 and income of $100,000 if the maximum LTV is 95%, the maximum DTI is 40% and the loan is a 20 year fully amortizing mortgage at 4%.Respond to closer integer with thousand comma separator, entering $100,000.54 as 100,001 Leo flips a paper cup 50 times and records how the cup landed each time. The table below shows the results. RESULTS OF FLIPPING PAPER CUP Outcome Right-side UP Upside Down On its Side Frequency 10 18 22 Based on the results, how many times can he expect the cup to land on its side if it is flipped 1,000 times? 333 440 550 786 when do we say two points are said to be collinear Theophilus was not familiar with any of the matters concerning which Luke wrote.TrueFalsePLEASE HELP!!!!! The recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used, how much pepper is needed?Which proportion represents this problem?StartFraction one-fourth over 3 EndFraction = StartFraction 9 over p EndFractionStartFraction one-fourth over 3 EndFraction = StartFraction p over 9 EndFractionStartFraction one-fourth over 9 EndFraction = StartFraction 3 over p EndFractionStartFraction one-fourth over p EndFraction = StartFraction 9 over 3 EndFraction One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours. Pls help due in 15 minwill give brainlist to best answer Basically, write an essay it doesn't have to be long but you know an acceptable length Now that you have analyzed several sources, you will write your final claim respond to the question: What persuades voters to support a particular candidate? Construct an argument that addresses the CHQ using your knowledge of the 1960 presidential election, elections in general, as well as specific claims and relevant evidence from sources. You should review the rubric below before crafting your response to ensure you know what to include. It might also be helpful to review the rubric prior to submitting to ensure it includes all the necessary elements. The U.S CPI is a Laspayres price index (base year weights). All things equal it will a. Overstate inflationb. Understate inflationc. cannot be calculatedd. neither understates nor overstates inflatione. None of the above la las los nos Word Tu amigo: Tienes unas botas cmodas para esquiar? T: S, drop or tap acabo de comprar. Tu amigo: Y, has trado los guantes? consider recurrence (and no such that for every non negative integer ny 2 an = 400-1 - 5an-2 +200-3 suppose recurrence (an) has the following initial value a=1 a2=2 in what follows, let a (n) dehote term an for each nonnegative integern write an explicit formula for a(n) zenmap identified three hosts on the subnet. what operating system version did the scan reveal for each host?