When the Moon is a distance of 0.25 D from the Earth, the gravitational force on the Moon from Earth is 16.00 Fm. At what distance with the force on the Moon be 4.00 Fm?

Answers

Answer 1

Answer:

When the gravitational force on the Moon from the Earth = 4.00 Fm, the distance of the Moon from the Earth is 0.5·D

Explanation:

The given information includes;

The distance of the moon from the Earth = 0.25·D

The gravitational force, F, on the Moon from the Earth = 16.00 Fm

When the gravitational force on the Moon from the Earth = 4.00 Fm, the distance of the Moon from the Earth is found as follows;

From Newton's law of gravitation;

[tex]F_{1} = F_{2} =G\dfrac{m_{1}m_{2}}{r^{2}}[/tex]

At r = 0.25·D, F = 16.00 Fm

Therefore;

G×m₁×m₂ = (0.25·D)²×16.00 Fm = D²×Fm = Constant

When, the gravitational force of the Moon from the Earth = 4.00 Fm, we have;

[tex]F = 4.00 \ Fm =\dfrac{D^2 \times Fm}{r_2^{2}}[/tex]

Therefore;

[tex]r_2^{2} =\dfrac{D^2 \times Fm}{4.00 \ Fm} = \dfrac{D^2}{4}[/tex]

[tex]r_2 =\sqrt{\dfrac{D^2}{4}} = \dfrac{D}{2} = 0.5 \cdot D[/tex]

r₂ = 0.5·D

Where;

r₂ = The new distance of the Moon from the Earth

Therefore the distance of the Moon from the Earth when the gravitational force on the Moon from the Earth = 4.00 Fm is r₂ = 0.5·D.


Related Questions

a cross country runner runs 10 km in 40 minutes. what is his average speed

Answers

Answer :

Average speed is measured as the ratio of total distance travelled to the total time taken.

Given : d = 10km and t = 40min

To Find : Vav

_________________________________

Conversion :-

60 min = 1 h

40 min = 40/60 = 2/3 h

[tex]:\implies\sf\:V_{av}=\dfrac{d}{t}[/tex]

[tex]:\implies\sf\:V_{av}=\dfrac{10\times 3}{2}[/tex]

[tex]:\implies\sf\:V_{av}=\dfrac{30}{2}[/tex]

[tex]:\implies\:\boxed{\bf{\orange{V_{av}\:15\:kmph}}}[/tex]

Identify the term used to describe the number of protons and neutrons that are present in an atomic
nucleus.

Answers

Answer:
Atomic mass
Explanation:
The unit for measuring protons and neutrons are called atomic mass. They weigh around the same thing.
atomic number. explanation: the atomic number or proton number of a chemical element is the number of protons found in the nucleus of every atom of that element.

5. What is the velocity of a Nolan Catholic football player if he runs 200.0 m in 24.0 s?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed {\sf{8.33 \: m \:/s \: }}}}} [/tex]

Explanation:

Distance travelled = 200 metre

Time taken = 24 second

Velocity = ?

Finding the velocity

[tex] \boxed{ \sf{velocity = \frac{distance \: travelled \: }{time \: taken}}} [/tex]

[tex] \dashrightarrow{ \sf{velocity = \frac{200 \: m}{24 \: s} }}[/tex]

[tex] \dashrightarrow{ \sf{velocity = 8.33 \: m/s}}[/tex]

Hope I helped!

Best regards!

This means divide or to take apart the pieces. ( science )

Answers

Answer:

disassemble, break apart,divide, separate

Explanation:

just know and have learned it....

write down formula of power​

Answers

There u go -> P=f/a

Answer:

Power is a measure of the amount of work that can be done in a given amount of time. So, the formula is the energy or work divided by time:

P = W ÷ T, where p is power , w is work and t is time.

When writing a number in scientific notation, how many digits should be to
the left of the decimal point?
o
A. None
B. One
C. Two
D. It depends on how precise you want your answer to be.

Answers

Answer:

C

Explanation:

What happens when sulfur reacts with potassium?

Answers

Electrons move from the potassium atoms to the sulfur atoms.

Plz help me this question is hard to under stand

Answers

Answer:

____________

in real world conditions?

it seems the most plausible.

Answer (B)

Cars are tested on closed tracks and race tracks so rule out A, D. Tha leaves us with B, C. C is kind of a real-world situation so the answer is most likely, B.

Convert 543 g to kg (Use correct number of significant figures for answer).
a
Ob
e
0.5 kg
0.54 kg
0.543 kg
5.0 kg
5.4 kg
5.43 kg
54,300 kg
543,000 kg
None are Correct
g

Answers

Answer:

0.543 kilogram

Explanation:

thats the answer

A race car speeds up with an acceleration of 10 m/s2 for 21 s. If its final velocity is 210 m/s, find its initial velocity.

Answers

Answer:

answer is 0m/ sec

please follow me.

I want to know if high school starts hard and gets easier as the year goes? in your opinion

Answers

Answer:

It depends on how much you stress I recommend starting calm!

Explanation:

Answer:

I'm a senior right now, but I think the subjects gradually get more difficult, it's not all too difficult though, it's just stressful because the amount of work your expected to finish.

Explanation:

If you have 2 flowers, but then your friend gives you one, how many do you have?

Answers

Answer:

3

Explanation:

Answer:

2+1=3

Explanation:

cause why not

In a college of exactly 2560 students, exactly 50 % are male. What is the number of female students?

Answers

1280- 50% of 2560 is 1280

which type of mixture is air explain​

Answers

Answer:Three elements make up over 99.9 percent of the composition of dry air: these are nitrogen, oxygen, and argon.

Explanation:

Answer: Air is an gaseous substance

Explanation:

Air is a homogeneous mixture of the gaseous substances nitrogen, oxygen, and smaller amounts of other substances. Salt, sugar, and many other substances dissolve in water to form homogeneous mixtures.

Which statement describes an advantage of models? Models can be used to communicate and test designs ideas. Models always show the exact size of a system. Models have the ability to develop into complex systems. Models are useful for developing scientific methods.

Answers

Answer:

Models are useful for developing scientific methods.

Explanation:

Which statement describes an advantage of models? And Developing is an advantage of a model.

Developing scientific methods.

What are scientific methods?

"The scientific method is a process for experimentation that is used to explore observations and answer questions."

The scientific method has five basic steps, plus one feedback step:

Make an observation.Ask a question.Form a hypothesis, or testable explanation.Make a prediction based on the hypothesis.Test the prediction.Iterate: use the results to make new hypotheses or predictions.

Know more about models here

https://brainly.com/question/19426210

#SPJ2

A person driving a car suddenly applies the brakes. The car takes 7.0 s to come to rest while traveling 26 m at constant acceleration. What was the initial speed of the car (in m/s)?

Answers

Answer:

7.43 m/s

Explanation:

Time taken for car to stop = 7.0 s

distance traveled before coming to rest = 26 m

Final speed of the car = 0 m/s (since it stops)

initial speed of the car = ?

To get the final speed, we use the equation

s = [tex]\frac{1}{2}t(u + v)[/tex]

where

s is the distance traveled before stopping

u is the initial speed = ?

v is the final speed = 0 m/s

t is the time = 7 s

substituting values, we have

26 = [tex]\frac{1}{2}*7*(u + 0)[/tex]

26 = 3.5u

u = 26/3.5 = 7.43 m/s

find the potential energy of a diver of mass 75kg at a height of 10m above a swimming pool g=9.8m

Answers

Answer:

[tex] \boxed{\sf Potential \ energy \ (PE) = 7.35 \ kJ} [/tex]

Given:

Mass (m) = 75 kg

Height (h) = 10 m

Acceleration due to gravity (g) = 9.8 m/s²

To Find:

Potential Energy (PE)

Explanation:

The formula for potential energy due to gravity:

[tex] \boxed{ \bold{PE = mgh}}[/tex]

Substituting value of m, g & h in the formula:

[tex] \sf \implies PE = 75 \times 10 \times 9.8 \\ \\ \sf \implies PE = 7350 \: J \\ \\ \sf \implies PE = 7.35 \: kJ[/tex]

What is the difference between centrifugal force and centripetal force???

Answers

Centripetal force is defined as, "the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation," while centrifugal force is defined as "the apparent force that is felt by an object moving in a curved path that acts outwardly away from the center of rotation," according to Merriam Webster Dictionary.

Answer:

Centripetal force is the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation, while centrifugal force is the apparent force that is felt by an object moving in a curved path that acts outwardly away from the center of rotation

Explanation:

Hope this helps!

Brainliest if correct pls

How many significant figures does the value 0.080 have?

Answers

The answer is 2 sig figs

A roadrunner at rest suddenly spots a rattlesnake slithering directly away at a constant speed of 0.75 m/s. At the moment the snake is 10. Meters from the bird, the roadrunner starts chasing it with a constant acceleration of 1.0 m/s^2. How long will it take the roadrunner to catch up to the snake?

Answers

Answer:

The roadrunner will take approximately 5.285 seconds to catch up to the rattlesnake.

Explanation:

From the statement we notice that:

1) Rattlesnake moves a constant speed ([tex]v_{S} = 0.75\,\frac{m}{s}[/tex]), whereas the roadrunner accelerates uniformly from rest. ([tex]v_{o, R} = 0\,\frac{m}{s}[/tex], [tex]a = 1\,\frac{m}{s^{2}}[/tex])

2) Initial distance between the roadrunner and rattlesnake is 10 meters. ([tex]x_{o, R} = 0\,m[/tex], [tex]x_{o,S} = 10\,m[/tex])

3) The roadrunner catches up to the snake at the end. ([tex]x_{S} = x_{R}[/tex])

Now we construct kinematic expression for each animal:

Rattlesnake

[tex]x_{S} = x_{o,S}+v_{S}\cdot t[/tex]

Where:

[tex]x_{o, S}[/tex] - Initial position of the rattlesnake, measured in meters.

[tex]x_{S}[/tex] - Final position of the rattlesnake, measured in meters.

[tex]v_{S}[/tex] - Speed of the rattlesnake, measured in meters per second.

[tex]t[/tex] - Time, measured in seconds.

Roadrunner

[tex]x_{R} = x_{o,R} +v_{o,R}\cdot t +\frac{1}{2}\cdot a\cdot t^{2}[/tex]

Where:

[tex]x_{o, R}[/tex] - Initial position of the roadrunner, measured in meters.

[tex]x_{R}[/tex] - Final position of the roadrunner, measured in meters.

[tex]v_{o,R}[/tex] - Initial speed of the roadrunner, measured in meters per second.

[tex]a[/tex] - Acceleration of the roadrunner, measured in meters per square second.

[tex]t[/tex] - Time, measured in seconds.

By eliminating the final positions of both creatures, we get the resulting quadratic function:

[tex]x_{o,S}+v_{S}\cdot t = x_{o,R}+v_{o,R}\cdot t +\frac{1}{2}\cdot a \cdot t^{2}[/tex]

[tex]\frac{1}{2}\cdot a \cdot t^{2} + (v_{o,R}-v_{S})\cdot t + (x_{o,R}-x_{o,S}) = 0[/tex]

If we know that [tex]a = 1\,\frac{m}{s^{2}}[/tex], [tex]v_{o, R} = 0\,\frac{m}{s}[/tex], [tex]v_{S} = 0.75\,\frac{m}{s}[/tex], [tex]x_{o, R} = 0\,m[/tex] and [tex]x_{o,S} = 10\,m[/tex], the resulting expression is:

[tex]0.5\cdot t^{2}-0.75\cdot t -10=0[/tex]

We can find its root via Quadratic Formula:

[tex]t_{1,2} = \frac{-(-0.75)\pm \sqrt{(-0.75)^{2}-4\cdot (0.5)\cdot (-10)}}{2\cdot (0.5)}[/tex]

[tex]t_{1,2} = \frac{3}{4}\pm \frac{\sqrt{329}}{4}[/tex]

Roots are [tex]t_{1} \approx 5.285\,s[/tex] and [tex]t_{2}\approx -3.785\,s[/tex], respectively. Both are valid mathematically, but only the first one is valid physically. Hence, the roadrunner will take approximately 5.285 seconds to catch up to the rattlesnake.

True or false: We still use the republican calendar created by the French.​

Answers

true!!!!!!!!!!!!!!!!!!!!

A 20 kg block rests on a rough horizontal table. A rope is attatched to the block and is pulled with a force of 80 N to the left. As a result, the block accelerates at 2.5 m/s^2 . The coefficient is Kinetic force friction between the block and the table is ____( Round to the nearest hundredth )

Answers

Given :

Mass of block , M = 20 kg .

Force applied , F = 80 N .

Acceleration of block , [tex]a=2.5\ m/s^2[/tex] .

To Find :

The coefficient is Kinetic force friction between the block and the table .

Solution :

We know , Force equation on block is given by :

[tex]F_{net }=F-\mu_k mg \\\\ma = F-\mu_k mg \\\\20\times 2.5 = 80 -\mu_k \times 20 \times 10\\\\\mu_k\times 200=30\\\\\mu_k=\dfrac{30}{200}\\\\\ mu_k=0.15[/tex]

Therefore , coefficient is Kinetic force friction between the block and the table is 0.15 .

Hence , this is the required solution .

a car starts from rest and drives at 45 m/s in 20 s. how far did it travel

Answers

Answer:

distance=speed×time.

45×20=900m.

2. What is the difference between distance and displacement?

Answers

Answer:

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Explanation:

:)

Answer: The complete length of the path between any two points is called distance. Displacement is the direct length between any two points when measured along the minimum path between them.

Explanation: It's what's!!

a current of 5 ampere is passed for 2 hours in an electric iron having a resistance of 100 ohms calculate the heat produced

Answers

Answer:

[tex] \boxed{\sf Heat \ produced \ (H) = 5 \ kWh} [/tex]

Given:

Resistance (R) = 100 Ω

Current (I) = 5 A

Time (t) = 2 hours

To Find:

Heat developed (H) in the electric iron

Explanation:

Formula:

[tex] \boxed{ \bold{ \sf H = I^2Rt}}[/tex]

Substituting values of I, R & t in the equation:

[tex] \sf \implies H = {5}^{2} \times 100 \times 2 \\ \\ \sf \implies H = 25 \times 100 \times 2 \\ \\ \sf \implies H = 5000 \\ \\ \sf \implies H = 5 \: kWh [/tex]

[tex] \therefore[/tex]

Heat developed (H) in the electric iron = 15 kWh

help pls!!

acceleration:

a) the rate of change of position

b) acceleration caused by the force of gravitation

c) the rate of change in velocity; speeding up, slowing down, or changing direction

d) for every action force, there is an equal and opposite reaction force

Answers

The correct answer would be C

Answer:C.

Explanation:

The rate of change in velocity; speeding up, slowing down, or changing direction

Which of the following is an example of a chemical property? Density Solubility Flammability Magnetism

Answers

Answer:

Hey there!

Flammability is a chemical property. It doesn't change based on what state of matter the object is in.

Let me know if this helps :)

Answer:Flamibilliety

Explanation:

Which of the following is an example of an electromagnetic wave? (2 points)

Red light

Ocean waves

Sound waves

Earthquakes

Answers

a) red light
red lights are an example of an electromagnetic wave. visible lights are the only electromagnetic waves we can actually see on the spectrum. red, in particular has the biggest wavelength.

b) ocean waves
ocean waves are not an electromagnetic wave. in fact, it’s a mechanical wave. electromagnetic waves can travel through a vacuum, that is empty space, but mechanical waves cannot.

c) sound waves
sound waves are also not an electromagnetic wave. it’s a mechanical wave. you cannot hear electromagnetic waves.

d) earthquakes
an earthquake is also not an example of electromagnetic waves. it’s a mechanical wave.

hope this helps!

Answer:

a

Explanation:

what are fossil fuels?​

Answers

fossil fuels are things such as natural gas, petroleum, and coal and they are made from dead organisms containing organic molecules that release energy deep in the ground they are not renewable

Answer:

Fossil Fuels are natural fuels like coal or gas that were formed millions of years ago and take millions of years to form. They are formed from the remains of past living organisms.

Explanation:

Well you do no really need an explanation for this one...

Plz help me I will mark brainlieat Ques. Write down name and molecular formula of a
Compound which gives hydrogen ion and sulphate on
in solution state. In which colour is the methyl Orange
changed after treating with this compound? Why?
Write name of salt when the same compound is
treated with sodium hydroxide Write down chemical
equation​

Answers

The compound is (Sulphuric Acid) H2SO4. On reacting with (Sodium Hydroxide) NaOH, it gives (2 Water Molecules/Colored) 2H2O and (1 Sodium Sulfate Molecule/Salt) Na2SO4

H2SO4 + NaOH —> 2H2O (aq.) + Na2SO4 (salt)

The resulted salt/compound (Na2SO4) when reacting with Methyl Orange (MO) is called ”Removal of methyl orange dye and Na2SO4 salt from synthetic wastewater using reverse osmosis (RO)”

The efficiency of reverse osmosis (RO) membranes used for treatment of colored water effluents can be affected by the presence of both salt and dyes.

Concentration polarization of each of the dye and the salt and the possibility of a dynamic membrane formed by the concentrated dye can affect the performance of the RO membrane.

The objective of the current work was to study the effect of varying the Na2SO4 salt and methyl orange (MO) dye concentrations on the performance of a spiral wound polyamide membrane.

The work also involved the development of a theoretical model based on the solution diffusion (SD) mass transport theory that takes into consideration a pressure dependent dynamic membrane resistance as well as both salt and dye concentration polarizations.

Control tests were performed using distilled water, dye/water and salt/water feeds to determine the parameters for the model.

The experimental results showed that increasing the dye concentration from 500 to 1000 ppm resulted in a decrease in the salt rejection at all of the operating pressures and for both feed salt concentrations of 5000 and 10,000 ppm.

Increasing the salt concentration from 5000 to 10,000 ppm resulted in a slight decrease in the percent dye removal. The model’s results agreed well with these general trends.

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