How does the force of gravitation between two objects change when the distance between them is reduced to half?

Answers

Answer 1

Answer:

it is 1 / square root of the change in distance

Explanation:

since the equation of the gravitational force is

[tex]F=G{\frac{m_1m_2}{r^2}}[/tex]

then F and r are inversely related, by the equation

[tex]F \alpha \frac{1}{r^2}[/tex]

this means when F is multiplied by 2 then r^2 is multiplied by half

so when r is multiples by half we first square the number (0.5) ^ 2 = 0.25

so

[tex]F \alpha \frac{1}{(0.25)r^2}[/tex]

which means F is multiples by 1/0.25 or 4 when the radius is halfed


Related Questions

how can the motion of an object that is already moving change?

Answers

Answer: A force can change the direction in which an object is moving

Explanation: A bigger force of an object will produce a bigger change in motion

A rock on the moon has 0.5kg. It is brought to Earth where the gravitational field is stronger. On Earth, the rock will have:
a) Less mass and same weight
b) The same mass and more weight
c) Less mass and less weight
d) The same mass and same weight

Answers

Answer:

Explanation:

It will be B.

The correct answer is the same mass and less weight.

What happens to the weight of an object when it is brought from the moon to the Earth?

The weight decreases. Your weight will be 1/6 of the weight on the moon that you had on Earth. This is because the mass of the moon is less hence the gravitational pull is very low compared to Earth.

What happens to the mass of an object when you take it to the moon?

Therefore, the mass of an object on the Moon remains the same as its mass on Earth. But its weight gets less because the gravity on the moon is less than on the Earth.

Learn more about gravitational pull here: brainly.com/question/4208016

#SPJ2

When an electron falls from one energy level to a lower energy level, the result is the emission of:

Answers

Answer:

fsdfbfsdhfsfiic,dsiwe

Explanation:

How do you change an object's motion?

Answers

Forces cause all motions. Every time the motion of an object changes, it's because a force has been applied to it. Force can cause a stationary object to start moving or a moving object to change its speed or direction or both. A change in the speed or direction of an object is called acceleration.

A bus speeds up from 5 m/s to 15 m/s in 20 seconds. How far did it go during the 20 seconds? (use KE1 to find a, then use that to find xf)

Answers

The distance the bus travelled in 20 seconds is 12.75 m

The first step is to write out parameters given in the question

Final velocity= 15

Initial velocity= 5

Time= 20

Distance= ?

V² + U²= 2as

15² + 5²= 2(9.8)s

225+25= 19.6s

250= 19.6s

s= 250/19.6

= 12.75

Hence the distance the bus travelled in 20 seconds is 12.75 m

Please see the link below for more information

https://brainly.com/question/24647065?referrer=searchResults

what is the relationship of physics and technology ​

Answers

Answer:

Physics explains and describes natural phenomena. It tells us how different parts of nature work and react to different situations. Technology helps us solve problems and complete tasks by using the world around us.

It is observed that technology gives rise to new physics and at other times physics generates new technology. Physics Generating New Technology: Newton's law of motion helped in the development of rockets.

Explanation:

Hope this helps you! :)

A piece of wood is floating in a tub of water. a second piece of wood rests on top of the first piece; it does not touch the water. if the second piece of wood is removed from on top of the first piece and placed in the water, what happens to the water level in the tub?

Answers

Answer:

The water would rise because of displacement in the water

Explanation:

A 29000-kg open railroad car, initially coasting at 0.825 m/s with negligible friction, passes under a hopper that dumps 117500 kg of scrap metal into it.

a)What is the final speed, in meters per second, of the loaded freight car?
b)How much kinetic energy is lost, in joules, when the freight car receives this scrap metal? Ignore the free-fall kinetic energy of the scrap metal.

Answers

Answer:

a) Answer: 0.16331 m/s

b) Answer: 8522.66 joules

Explanation:

The final speed is  0.1633 m/s.

When the freight car receives this scrap metal, 7915.72 Joule kinetic energy is lost.

What is momentum?

A body has momentum while it is moving, according to our understanding. It is said that a body's momentum is equal to the sum of its mass and speed. A body's direction is important when discussing momentum. Its direction belongs to the body's direction of motion.

(a) Given parameter:

Mass of the railroad car, M = 2900 Kg.

Mass of the scrap metal, m= 11750 Kg.

Initial speed of the car, u = 0.0825 m/s.

Initial speed of the scrap metal = 0 m/s.

Final speed of the system, v = ?

Then, initial momentum of the  system = initial momentum of the car +  initial momentum of the scrap metal .

= (29000×0.825 + 117500×0) kg.m/s.

= 23925 kg.m/s.

Final momentum of the system = total mass of the system× final speed

= (29000 + 117500)× v kg.m/s

= 146500v kg.m/s.

Hence, from principle of conservation of momentum,

initial momentum of the  system = Final momentum of the system

⇒ 23925 = 146500v

⇒ v = 0.1633 m/s.

The final speed of the  loaded freight car is 0.1633 m/s.

(b) Lost in kinetic energy = initial kinetic energy of the car - final kinetic energy of the loaded car.

= 1/2*29000*0.825² -1/2*(29000 + 117500)* 0.1633² Joule.

= 7915.72 Joule.

Hence, 7915.72 Joule kinetic energy is lost in this process.

Learn more about momentum here:

https://brainly.com/question/24030570

#SPJ2

2. Summarize how to use a spring scale to measure a pull and how to use it to apply a push with
a specific force.

Answers

If the spring constant is known, the extension or compression of the spring can be used to calculate the applied force (pull or push) on the spring.

According to Hook's law, the force applied to an elastic material is directly proportional to the extension of the material.

The force applied;

F = kx

where;

k is the spring

The applied force can be in form of push or pull. A push force can result in compression of the spring while a pull force can result in extension of the spring.

If the spring constant is known, the extension or compression of the spring can be used to calculate the applied force (pull or push) on the spring.

Learn more here:https://brainly.com/question/4404276

John carries a 5 kg bag horizontally to the checkout line. How much work must he
do to move it 8 m at a constant velocity of 1 m/s to the right?

Answers

The work John must do to move the bad horizontally to given distance is 2.5 J.

The given parameters;

mass of the  bag, m = 5 kgdistance moved by the bad, d = 8 mvelocity of bag, v = 1 m/s

The acceleration of the bag at the given distance and velocity is calculated as follows;

[tex]v^2 = u^2 + 2as\\\\1^2 = 0 + 2(a)(8)\\\\1 = 16 a\\\\a = \frac{1}{16} \\\\a = 0.0625 \ m/s^2[/tex]

The work done in moving the bag to 8m is calculated as follows;

[tex]W = F \times d\\\\W = ma \times d\\\\W = 5 \times 0.0625 \times 8 \\\\W = 2.5 \ J[/tex]

Thus, the work John must do to move the bad horizontally to given distance is 2.5 J.

Learn more here:https://brainly.com/question/19498865

What is the weight, on Earth, of a book with a mass of 1. 5 kg? 1. 5 N 6. 5 N 11. 3 N 14. 7 N.

Answers

Answer:

The weight, on Earth, of a book with a mass of 1.5kg is 14.7N.

Explanation:

Hi there!

Weight of an object = mass (kg) × acceleration due to gravity (N/kg)

Plug in the given values using the g constant g = 9.8 N/kg:

W = 1.5 × 9.8 = 14.7 N

a force acting on 25kg mass produces an acceleration of 4m/square what would this the same force produce on a 12kg mass​

Answers

Answer:8.3m/s

Explanation:

from F=ma, f=25*4=100N. since the force is 100, 100=12a. acceleration= 8.3m/s

which of the following changes will result in a weaker electromagnet

Answers

Answer:

Changing the metal core for a different metal will make the electromagnet stronger or weaker.

Explanation:

Hope this helped, nya~ :3

A large solar farm has 21 700 solar panels and generates 5.0 MW of power.

1.0 MW = 1.0 × 106 W

Calculate the average power each panel produces.

Answers

Answer:

answer is

Explanation:

average power each panel produces = 21700/ 5×10^6

4340 ×10^-6

that's mean 4340 micro Watt

According to the principle of regularity, it is recommended that an individual exercise.

A 3-4 days per week at the beginning and progress to 4 or 5 days a week as your fitness improves.

B 7 days per week at the beginning and progress to 4 or 5 days a week as your fitness improves.

C 3-4 days per week at the beginning and progress to 7 days a week as your fitness improves.

D 1-2 days per week at the beginning and progress to 5 or 6 days a week as your fitness improves.

Answers

Answer:

Socratic app

Explanation:

it will help you

The total power input to the leaf blower is 750 W. The useful power outlet of the leaf blower is 360 W. Calculate the efficiency of the leaf blower.

Answers

H = Pu / P x 100% = 360/750 x 100% = 48%

P/s: Pu is the useful power outlet of the leaf blower

P is the total power input to the leaf blower

ok done. Thank to me :>


What mass M will cause this system accelerate e 0.75 m/s²?

Answers

Answer:

5.54 [kg].

Explanation:

1) if m₁=6; g=9.81; a=0.75 and m₂ - reqired mass, then

2) it is possible to write: m₁*a=m₁*g-m₂*g, and

3) [tex]m_2=\frac{m_1(g-a)}{g}; \ => \ m_2=\frac{6*(9.81-0.75)}{9.81}=5.54[kg].[/tex]

I need help making a chart (preferably a line graph) with this data. I'm not sure how to show that it will be a linear line in a graph. If you don't have excel can you explain to me how to do it.


note: these datasets are separate and arent related

Spring Constant (N/m) Displacement (m)
100 0.5m
300 0.167m
500 0.1m
700 0.071m

Applied force (N) Displacement (m)
20 0.2m
30 0.3m
50 0.5m
70 0.7m

Answers

Answer:

the graph plotted based on your data, you did not mention what are the variables on the x-axis and y- axis . and the graphs can be three small graphs of different material of one quality i.e. thickness or length

hope it helps

Explanation:

4. A force of 50 Newtons is applied to a mass resulting in an acceleration of 8 m/s2. What force would need to be applied to this mass to cause an acceleration of 25 m/s??​

Answers

Answer:

125N

Explanation:

force =mass×acceleration

50 =mass×8m/s2

mass=6.25kg

As a speaker, I should know my purpose and method of delivery before giving my speech so...​

Answers

Explanation:

I will prepare my speech first and then I will give a speech on it.

a dragster accelerate to a speed of 112m/s over a distance of 398m/s. determine the acceleration (assume uniform) of the dragster

Answers

457 is the absolute correct answer I got my teacher to help hope this helps

Please Help

A car travels on a straight road with velocity components of 20 m/s west and 70 m/s south. What is the total distance the car travels in 50 s?

Answers

I know I don’t know what the problem

PLz help--- What's happening here?
This object is not moving
This object is not changing speeds.
This object is changing speeds; it's getting faster.
This object is changing speeds; it's getting slower.

Answers

Answer:

getting faster

Explanation:

the curve gets more steeper, and steeper line shows more distance for less time, meaning faster.


[tex] \huge \mathcal{Question}[/tex]


Can someone Help me with this question ?

(I need proper Explanation if possible)

Thanks for Answering ~ ​

Answers

Answer:

c. Force applied is 75 N

EDITED

tan 37 = a/g

a = 3g/4

a in equation

t× 3/5 = 2 × 3g/4

t = 5× 10/2

t = 25n

f = ma

f = ( mt + mb )a

F = 10 × 3× 10/4

F = 75 n

• Correct option is (C).

We know that the angle made by string is θ=

[tex]tan {}^{ - 1} ( \frac{a}{g} )[/tex]

where a is the acceleration of the frame in which the string is hanging in our case it is a trolley.

[tex]putting  \: θ=37° \: or \: tan \: 37° = \frac{3}{4} [/tex]

[tex]we \: get \: a \: \frac{3g}{4} = \frac{30}{4} = 7.5 \: m/s^2[/tex]

[tex] \boxed{Force \:  F=total  \: mass \:  of \:  the  \: system \:  on  \: which  \: force  \: is  \: acting ×acceleration  \: of  \: the  \: system=(8+2)×7.5=75 }[/tex]

[tex] \boxed{ so \: force \: is \: 75 \:N. }[/tex]

What is its time interval between the release of the ball and the time it reaches its maximum height? Its initial vertical speed is 9 m/s and the acceleration of gravity is 9.8 m/s 2 . Neglect air resistance.

Answers

Answer:

The time to reach max height is    h = 1/2 g t^2  

The time to fall is the same as that for an equivalent rise

m g h = 1/2 m v^2       KE vs PE

Here:   (Vf - VI) / g = t = -9  / -9.8 = .92 s

What do these two changes have in common

a slice of banana turning brown

bleaching clothes

Answers

Answer:

They get air inside

Explanation:

bananas turn brown when air is inside

Lợi ích của lực ma sát và cách làm tăng

Answers

Ma sát có lợi và cách tăng ma sát: Ma sát giữa bánh xe với mặt đường, giữa đế giày với mặt đất, ma sát khi ta cầm một vật là ma sát có lợi. Làm tăng ma sát bằng cách tăng áp lực, tăng độ nhám của mặt tiếp xúc ( cắt nhiều khía ở vỏ xe, đế giày, rải cát trên đường trơn)

A man on the moon with a mass of 90 kilograms weighs 146 newtons. The radius of the moon is 1.74 x 10^6
meters. Find the mass of the moon

equation- F= G m1 m2/ d^2

Answers

Answer:

7.36 × 10^22 kg

Explanation:

Answer:

D

Explanation:

How would the gravity between two objects change if one object got bigger?

Answers

The correct answer is the 3rd answer, gravity would increase its pull on the small object

hope this helps! :)

A 3.00 kg toy falls from a height of 10.0 m. Just before hitting the ground, what will its kinetic energy be? (Disregard air resistance; g = 9.81 m/s2.)

Answers

The kinetic energy of the toy before hitting the ground is 294.3 J

From the question given above, the following data were obtained:

Mass (m) = 3 Kg

Height (h) = 10 m

Acceleration due to gravity (g) = 9.81 m/s²

Kinetic energy (KE) =?

Before the toy will hit the ground, the potential and kinetic energy of the toy will be the same.

KE = PE = mgh

KE = 3 × 9.81 × 10

KE = 294.3 J

Therefore, the kinetic energy of the toy is 294.3 J

Learn https://brainly.com/question/10703928

Other Questions
If you have a rocket that has a mass of 20kg and is accelerating at 25 m/s what forcewould that rocket experience? a . 20Nb . 40000Nc. 500Nd. 25N DESPERATE!! WILL GIVE BARINLIST AND THANKSMany farmers harvest their crops in the fall and then let the leftover plant material stay on the ground over winter. How does this help prevent erosion? Janna is making a prediction of the frequency of a key that is 12 keys from middle C. A 2-column table with 5 rows. The first column is labeled number of keys above middle c with entries 0, 1, 2, 4, 8. The second column is labeled frequency (hertz) with entries 277. 18, 293. 66, 311. 13, 249. 23, 440. 0. Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle C is outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set. What three states were the leading producers in 2007? what arguments does Hamilton make in support of lifetime tenure? Determine whether the points p1 (6,9,7), p2(9,2,0), and p3(12,-5,-6) lie on the same line Write the story that you would tell your sisters include many details to make your writing interesting Read the article Walking the Quechee Gorge:Walking is the best way to see the Quechee Gorge. The gorge is known as the Grand Canyon of Vermont. When glaciers were melting during the last ice age, the moving water dug away at the bedrock of this area. The result is the magnificent Quechee Gorge with the Ottauquechee River running through it. Walking around the gorge provides visitors with exercise options and different perspectives.First of all, walking the hiking trails provides tourists with the opportunity to exercise. Hikers may choose to walk along the pathways at the top of the gorge, which is a mile long. They can enjoy the fall colors and the fresh scent of pine trees. Adventurous individuals may choose to walk to the bottom of the gorge. The gorge is 165 feet deep, but the gravel hiking trail takes visitors safely to the bottom. There, hikers can take a break and remove their shoes. They can wade in the shallow waters or sit on a rock to rest. Then they can climb back to the top of the gorge.Walking around the Quechee Gorge provides options. There are so many things to see! The lengths of the trails are listed, so hikers can decide how far they would like to walk. Visitors can walk along the top of the bridge overlooking the gorge. The bridge has a separate section for pedestrians that is separated from the roadway by a safety fence. Other hikers can walk to the dam and waterfall at the head of the gorge. If tourists get tired, they can rest at the Quechee Gorge Visitor Center or enjoy a meal in the picnic area beside the gorge. Visitors get to choose their adventure.Finally, the Quechee Gorge is a photographer's dream because there are so many different perspectives to enjoy. At the dam, photographers can capture the smooth line of water falling over the dam into the turbulent waterfalls below. The bridge offers a magnificent view of the length of the gorge. Some photographers may wish to capture the steel curves of the bridge itself. Hikers can take pictures from different spots along the trail, including a picture of the same bridge from the bottom of the gorge. The bumpy rocks at the bottom of the gorge contrast with the smooth, rushing water of the river. With such a wealth of perspectives, even beginning photographers will produce phenomenal pictures.Indeed, the perspectives, options, and physical exercise available at Quechee Gorge make this natural wonder a mandatory stop for walkers of all ages.Read the article An Aerial View:The best way to see the Quechee Gorge is by taking a hot air balloon ride. The gorge is 165 feet deep, with the Ottauquechee River at the bottom. It was formed when glaciers melted during the last ice age and are known as Vermont's Grand Canyon. Taking a hot air balloon ride through the gorge is a unique group experience with unparalleled viewsand that is only part of the tour!Taking a ride in a hot air balloon is already a unique experience. Visitors watch as the pilot tests the air currents with a helium balloon and makes a flight plan. The balloon is laid out on the grass and filled with cool air. Then, the pilot turns on the burners, which heat the balloon's air and cause the balloon to rise. Each balloon carries up to four passengers in addition to the pilot. As a result, tourists can enjoy the experience as a private group. Once the hot air balloon is in the air, the skilled pilot puts it into the paths of different air currents. Since air currents change daily, every ride is unique.The aerial views from the hot air balloon are unparalleled. The hot air balloon floats above the dam and waterfall. Passengers can see people lining the steel bridge over the gorge. Then the hot air balloon floats just above the river. This relaxing trip allows visitors to enjoy the rushing water and watch for wildlife in the forest. The pilot also takes the hot air balloon high into the sky. Tourists can see the nearby mountains. Since they are traveling in a hot air balloon, visitors are treated to a 360-degree view of their surroundings.The Quechee Gorge is only part of the hot air balloon tour. Passengers also enjoy seeing covered bridges and farms. They can touch the leaves on the trees. The hot air balloon may even make a quick dip into the water! Visitors admire the beautiful villages of Vermont and take pictures of the picturesque countryside.At the end of the tour, passengers will without a doubt say that a hot air balloon ride is the best way to see the Quechee Gorge.What information does the reader learn from An Aerial View that is also included in Walking the Quechee Gorge? Each balloon carries up to four passengers in addition to the pilot. The gravel hiking trail takes visitors safely to the bottom of the gorge. There is the Quechee Gorge Visitors Center that lets visitors rest. Tourists stand on the top of the bridge over the Quechee Gorge.WILL MARK BRAINLIEST You need to replace the motherboard on a laptop. Which two items should you disconnect or remove first Please please help:(((((I will give brainliest What kind of leader was William Barret Travis Your task is to write a fictional newspaper article assuming that the Declaration of independence was never written. Assume that the United States does not exist, and that the land now kemanas the United States is still a British colony. The same issues that the colonists experienced in the late 1700s are still happening today! Your assignment is to choose two of the grievances to include in your article as if they were still occurring. Your article should show the impact that these grevances have on the citizens today. Be creativel Will give BRAINLIEST ANSWER Explain the determination of price of equilibrium. What average force magnitude is required to stop a 15,000 kg train in 12.1 s if the train is traveling at 86 km/hr What would you done for our nation of you are soldier ? For the cross AaBb X Aabb in which capital letters represent dominant alleles and lower case letters represent recessive alleles, what fraction of the offspring are expected to have the recessive phenotype for the trait determined by gene A and the dominant phenotype for the trait determined by gene B? Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in 6 1/4 minutes. What is the average change in Michelles position each minute. Show your work. which of the following is not a responsibility of the president of the united states?A. To determine if a law is unconstitutionalB. To make treaties with forgein countriesC. To appoint people to government offices using numerous computers to inundate and overwhelm the network from numerous launch points is called Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (0,0); y = 2/5x + 8