the gravitational force produced between any two
objects kept at 2.5*10^km apart is 580N. at what distance
should they be kept so that the gravitational force becomes
half?​

The Gravitational Force Produced Between Any Twoobjects Kept At 2.5*10^km Apart Is 580N. At What Distanceshould

Answers

Answer 1

Answer:

The two objects should be kept at a distance of [tex]3.535\times 10^{4}[/tex] kilometers.

Explanation:

From Newton's Law of Gravitation, gravitational force ([tex]F[/tex]), measured in newtons, between two objects is inversely proportional to the square of distance ([tex]r[/tex]), measured in meters. That is:

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

[tex]F = \frac{k}{r^{2}}[/tex] (2)

Where [tex]k[/tex] is the proportionality ratio, measured in newtons-square meter.

Now we eliminate the proportionality by constructing the following relationship:

[tex]\frac{F_{2}}{F_{1}} = \left(\frac{r_{1}}{r_{2}}\right)^{2}[/tex] (3)

If we know that [tex]\frac{F_{2}}{F_{1}} = \frac{1}{2}[/tex] and [tex]r_{1} = 2.5\times 10^{7}\,m[/tex], then the distance between the two objects so that gravitational force becomes half is:

[tex]\frac{1}{2} = \frac{(2.5\times 10^{7}\,m)^{2}}{r_{2}^{2}}[/tex]

[tex]r_{2}^{2} = 1.25\times 10^{15}\,m^{2}[/tex]

[tex]r_{2} = 3.535\times 10^{7}\,m[/tex]

[tex]r_{2} = 3.535\times 10^{4}\,km[/tex]

The two objects should be kept at a distance of [tex]3.535\times 10^{4}[/tex] kilometers.


Related Questions

please help!!! 50 POINTS
1) The diagram below models the energy involved in a reaction that changes methane gas and oxygen into carbon dioxide and water.

The graph shows a certain level of energy of reactants C H2 + 2 O2, which increases on the breaking of bonds as the atoms are separated. The energy is then consumed when the making of bonds decreases the energy of products, C O2 + 2 H2 O, to a level much lower than the energy of reactants. The energy change of negative delta H depicts the exothermic reaction.

Which observations about the energy released in making the bonds are correct?
a) It is greater than the energy absorbed in breaking the bonds. The excess is converted to chemical energy.
b) It is greater than the energy absorbed in breaking the bonds. The excess is converted to thermal energy.
c) It is less than the energy absorbed in breaking the bonds. The excess is converted to thermal energy.
d) It is less than the energy absorbed in breaking the bonds. The excess is converted to chemical energy.

2) Carbon dioxide is an example of a molecule where the component atoms of carbon and oxygen are held together by chemical bonds. Which statement correctly describes the reason for these chemical bonds?
a) The nuclei and electrons of the atoms are attracted to each other.
b) The strong nuclear energy bonds the atoms together.
c) The combination of chemical energy stored in each atom makes the bonds strong.
d) The structure of atoms increases their atomic energy, which creates the bonds.

3) When burning fuel for cooking, the pan and the food absorb energy and heat up. In this process, which form of energy is chemical energy converted into?(1 point)
a) thermal energy
b) atomic energy
c) mechanical energy
d) radiant energy

4) Which of the following statement/s about the energy involved in a chemical reaction is/are correct?
I. The energy stored in chemical bonds is kinetic energy.
II. The total energy is conserved during a chemical reaction.
III. Chemical energy can be converted to other forms of energy.
IV. Energy is needed to both break bonds and form new bonds.
a) III and IV only
b) II and III only
c) II, III, and IV only
d) I only

5) Burning coal results in several energy transformations to generate electricity. Which statement is correct about the chemical energy stored in chemical bonds between atoms when coal is burned?
a) It allows the bonds to form and then break.
b) It helps transform kinetic energy to potential energy.
c) It increases the number of atoms.
d) It converts to thermal energy.

thank you!!

Answers

Answer:

Explanation:

1. It is greater than the energy absorbed in breaking the bonds. The excess is converted to thermal energy.

2. The nuclei and electrons of the atoms are attracted to each other

3. thermal energy

4. II and III only

5. It converts to thermal energy.

Financial assistance intended to aid students in reaching their educational goals is called
a. benefits
b. financial aid
c. associate's assistance
d. post-secondary education
Please select the best answer from the choices provided
Help plsssss

Answers

I believe it’s financial aid

Answer:

financial aid

Explanation:

edge

A spring has a constant of 875 N/m. What hanging mass will cause this spring to stretch 4.5 m?

Answers

Answer:

8) A hanging 7.5 kg object stretches a spring 1.1 m. What is the spring constant? 1 . 1 66. 82 NIMO 9) A spring has a constant of 875 N/m. What hanging mass will cause this spring to stretch 4.5 m? Iouliply then divide 875 X 4. 2- - (4 04. 7919) 10) A spring with a spring constant of 25 N/m is stretched 65 cm. What was the force used? 11) A 25 N force stretches a spring 280 cm. What was the spring constant? 12) A 75 N force stretches a spring 175 cm. What was the proportionality constant? 8) 66.82 N/m 9) 401.79 kg 10) 16.25 N 11) 8.93 N/m 12) 42.86 N/m

Explanation:

A spring has a constant of 875 N/m. and the mass which will cause this spring to stretch 4.5 meters is 401.78 kg.

What is Spring constant?

The spring constant is a characteristic of a spring which is defined as the ratio of the force affecting the spring to the displacement which is caused by that force. The SI unit of spring constant is N.m⁻¹ (Newton per meter).

The spring constant is:

F = -k/ x

where, k is the spring constant

F denotes the force,

and x denotes the change in the length of the spring.

k = 875N/m

x = 4.5m

We know that

Kx = mg

m= kx/ g

m = 875 × 4.5/ 9.8

m = 401.78kg

Therefore, the mass which will cause this spring to stretch 4.5 meters is 401.78 kg.

Learn more about Spring constant here:

https://brainly.com/question/14159361

#SPJ5

HELP PLS 100 POINTS TAKING TEST RN


Suppose you are in a car that is going around a curve. The speedometer reads a constant 30
miles per hour. Which of the following is NOT true?

You and the car are accelerating.

Your speed is constant.

Your velocity is constant.

Your acceleration is constant.

Answers

Answer:

sorry I hate when people press your question and answer with a fake answer for points, however you said it was 100 points and it's not even close lol but it is "your speed Is constant" that is not true

Describe a line that indicates moving backward on a graph

Answers

Answer:

time speed accelaration negatives backwards

Explanation:


The state of matter with particles that are not attracted or tightly packed
and are not arranged in a regular pattern; zoom around to easily change
shape and volume *
a.gas
b.liquid
c.solid

Answers

It's none of the above hope this helps

Can a solution be separated by filtration?​

Answers

Answer:

Filtration is a method for separating an insoluble solid from a liquid. When a mixture of sand and water is filtered: the sand stays behind in the filter paper (it becomes the residue ) the water passes through the filter paper (it becomes the filtrate )

Explanation:

Listo!

Filtration is a method for separating an insoluble solid from a liquid.

how much energy must be absorbed by water with a mass of 0.5kg in order to raise the tempature from 30c to 65c

Answers

Answer:

62760J

Explanation:

Given parameters:

Mass  = 0.5kg  = 500g

Initial temperature  = 30°C

Final temperature  = 65°C

Unknown:

How much energy is absorbed by the water  = ?

Solution:

To solve this problem, we use the expression below:

  H  = m C Δt

  H =  m  x C x (t₂ - t₁ )

m is the mass

C is the specific heat  = 4.184J/g°C

t₂ is the final temperature

t₁ is the initial temperature

So;

              H  = 500 x 4.184 x (65  - 30) = 62760J

Which is a unit of momentum?

A) N-m/s
B) kg-m/s
C) kg-m/s2
D) N-m/s2


please hurry i need help asap, will mark brainliest

Answers

Answer:

unit of momentum is kgm/s2

The unit for momentum can be Newton-second (Ns). In the CGS system, if the mass is in grams and the velocity in centimeters per second, then the unit of momentum will be gram-centimeters per second (g⋅cm/s).

What is momentum ?

"Momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle. See Newton's laws of motion."

Know more about momentum here

https://brainly.com/question/4956182

#SPJ2

What is the unit of a force, and what is 1 unit equivalent to?

Answers

Answer:

Newton

Explanation:

The unit of force is Newton and it is given after Sir Isaac Newton for his tremendous works in this regard.

 Force is the product of mass and acceleration of a body.

    Force  = mass x acceleration  

 The unit of mass = kg

                    acceleration  = m/s²

So;

      1N  = 1kgm/s²

Therefore, the unit of force is newtons and 1N is equal to  1kgm/s²

Which part of the electromagnetic spectrum is typically used to make images based on the temperatures of objects?

X-rays
radio waves
infrared light
visible light

Answers

Answer:

Which part of the electromagnetic spectrum is typically used to make images based on the temperatures of objects?

X-rays

radio waves

infrared light<<<----- CORRECT

visible light

Explanation:

Edge 2021

Infrared light is typically used to make images based on the temperatures of objects.

What is meant by electromagnetic spectrum?

The range of all EM radiation arranged from high to low frequency (short to long wavelength) according to their frequency or wavelength. is known as the electromagnetic spectrum (EM).

Here,

Similar to visible light, X-rays are a type of electromagnetic radiation. X-rays have a higher energy than light, on the other hand, and can penetrate most materials, including the human body.

Images of inside body tissues and structures are produced using medical x-rays.

Electromagnetic energy in the infrared region of the spectrum can be seen by them. There is a relationship between an object's temperature and the electromagnetic radiation it releases since infrared radiation is strongly related to object temperature.

Hence,

Infrared light is typically used to make images based on the temperatures of objects.

To learn more about electromagnetic spectrum, click:

https://brainly.com/question/15576247

#SPJ5

Need help ASAP
Thanks+ BRAINLIST only for correct answers it’s due in 10 mins I really need help

1.what is the order if visible light in increasing energy?
-violet, indigo, blue, green, yellow, orange, red
-red, orange, yellow, green, blue, indigo, violet

2.visible light is a mixture of
-refraction and reflection
-atoms and molecules
-many colors
-ultra violet and non violet rays

Answers

1- option 2
2- option 1

Explanation:

1A. The visible light portion of the electromagnetic spectrum shows the rainbow of colors, with violet and blue having shorter wavelengths, and therefore higher energy. At the other end of the spectrum toward red, the wavelengths are longer and have lower energy.

so its option 2

2A. Atom and molecules

PLEASE THANK, RATE AND FOLLOW ME,

AND PLEASE MARK ME AS "BRAINLIEST" ANSWER

HOPE IT HELPS YOU

Which part of this chemical process requires energy? KOH + HBr - KBr + H20 A. Forming bonds in KOH and HBr B. Breaking bonds in KBr and H2O C. Breaking bonds in KOH and HBr D. Forming bonds in KBr and H2O​

Answers

The chemical process which requires energy is breaking bond in KOH and HBr. Hence, option C is correct.

What is energy?

The capacity to perform work is known as energy in physics. Potential, kinematic, thermodynamic, electromagnetic, chemical, nuclear, and other types are all possible.

As energy is transferred through one body to another, there is also heat and work. As a result, heat transfer may result in thermal energy, whereas labor done may result in mechanical power.

As per the given reaction in the question,

KOH + HBr - KBr + H20

Here, in this reaction the chemical process which requires the energy is at the time of breaking of bonds in KOH and HBr at that time the energy is required.

Therefore, it is concluded that breaking bonds in KOH and HBr i.e., option C is correct.

To know more about Energy:

https://brainly.com/question/1932868

#SPJ2

1. If an object starts at 0 m/s and 0.0001 seconds later the object is travelling at
400 m/s what is the objects acceleration?

Answers

Answer:

4 x 10⁶m/s²

Explanation:

Given parameters:

Initial velocity  = 0m/s

Time  = 0.0001s

Final velocity  = 400m/s

Unknown:

Acceleration of the object  = ?

Solution:

Acceleration is the rate of change of velocity with time;

 Acceleration  = [tex]\frac{Final velocity - Initial velocity }{Time }[/tex]  

 Acceleration  = [tex]\frac{400 - 0}{0.0001}[/tex]   = 4 x 10⁶m/s²

Is gravitational energy a form of kinetic energy or potential energy? Why do you think that?

Please help due today!!​

Answers

Answer:

When something is lifted, work is done on the object against the pull of gravity. This work is converted to a form of potential energy called gravitational potential energy. When the item falls towards Earth like an apple from a tree, gravitational potential energy is converted into kinetic energy.

Earth's rotation causes winds to veer to the west or to the east. This is known as the Coriolis effect.

Lesson 1.06



Question 5 options:
True
False

Answers

Earth's rotation and spherical shape cause winds to veer to the right (in the northern Hemisphere) or to the left (in the southern Hemisphere) of the direction they want to go.  This is known as the Coriolis effect.

If you didn't know that you're on a rotating Earth, and you looked at the patterns of the winds, you'd think there's some kind of force that's making the airflow veer to the right or left of the direction it actually wants to go.  This is known as the Coriolis force.  It's a"pseudo force", because it doesn't really exist.  It only LOOKS like it's there, because of the Earth's rotation and spherical shape..

The statement "Earth's rotation causes winds to veer to the west or to the east" is true about the Coriolis effect.

What is the Coriolis effect?

Fluid materials such as wind and ocean currents take different directions depending on the hemisphere, this movement of deviation is called the Coriolis effect.

Characteristics of the Coriolis effect

The Coriolis effect occurs when masses of air or water move along terrestrial meridians, and their trajectory and speed are modified by it.

The winds or ocean currents that move along a meridian are diverted by accelerating in the direction of rotation (east) if they go towards the poles or the opposite (west) if they go towards the equator.

Therefore, we can conclude that the force that tends to deflect the trajectory of objects moving across the entire earth's surface is known as the Coriolis effect.

Learn more about the Coriolis effect here: https://brainly.com/question/14290551

What happens when stress builds up at faults?

A. Energy is absorbed
B. Rock can bend and break
C. Plates form on the lithosphere
D. earthquakes develop at earths surface

Answers

Answer:

The answer is D because when the faults move that is the tectonic plates moving. So earth quakes will be forming when the fault moves.

Explanation:

AB just took the test

Scientists have made predictions about the universe today based on the big bang theory. Observations that match these predictions support the big bang theory. Which of the following observations have scientists made that provides evidence of the big bang?

A. Light from the moment of the big bang has been observed.
B. The percentages of hydrogen and helium match the predicted percentages.
C. Galaxies are moving toward each other as predicted by the big bang theory.
D. Many galaxies that are similar to the Milky Way have been observed.

Answers

Answer:

the answer is b

Explanation:

Answer:

b

Explanation:

I just did it on a p e x

Martha, a first-grade teacher, is worried that if doesn't stay In at work to grade papers her principal will think she is lazy She is also worried that if she stays late at work her partner will be angry. This of conflict is known as

Answers

The type of conflict Character vs self

Answer:

Character vs self

Explanation:

The reason is because Martha is thinking to much about the negative things and it is making her feel like she is fighting her own body for control.

True or false: in our solar system, only the sun creates radio waves

Answers

False hdhsbsbsbjsjsndndbxhsisj

Plants are eaten by grasshoppers, which are eaten by mice, which are eaten by snakes.

Answers

Answer:

food chain / web lol? was this a question?

f. It is easier to pull a lawn roller than to push it, why?​

Answers

Answer:

because you use more force to push than to pull (well it depends how heavy it is)

Explanation:

Most electricity comes from the burning of
A. Fossil fuels B. Trash C. Wood D. None of the above

Answers

Answer:

(A) Fossil Fuels

Answer:

Fossil Fuels

Explanation:

That’s what CK12 told me

An elephant kicks a 2.5 kg rock that is initially at rest. The

net force on the rock varies with time as shown below.

What is the rock's change in momentum between 0 ms

and 20 ms?

Answers

0.20Answer:

Explanation:

II. What examples can you find in your home that are examples of kinetic and potential energy (name two for each type
of energy)?
11. Kinetic:
12. Kinetic:
13. Potential
14. Potential:

Answers

Answer:

11. A door accelerating when pushing it.

12. A person sliding along the floor.

13. Water dropping from the faucet.

14. Courtains descending when loosening them.

Explanation:

For kinetic energy, any example that does not move horizontally will do. Something accelerating or decelerating is a good example (Ek=1/2mv^2, where v is velocity).

For potential energy try to think of things moving vertically. Potential energy comes from the height of an object (Ep=mgh, where h is height).

Notice that example 13 and 14 represent potential energy turning into kinetic energy, height becomes lower, so velocity increases.

A 7.20x10^3 N spacecraft travels away from the Earth. What is its weight when it is a) 6.38×10^3 km
and b) 1.28x10^4 km from the surface of the Earth?

Answers

Answer:

1,252

Explanation:

Give an example of speed making a difference in the amount of kinetic energy. Tell how you know that kinetic energy amount is different in your example.

Please help this is due today

Answers

Answer:

1. A car moving 40 mph has four times as much kinetic energy as one moving 20 mph, while at 60 mph a car carries nine times as much kinetic energy as at 20 mph. Thus a modest increase in speed can cause a large increase in kinetic energy.

PLZ MARK BRAINLIEST THANK AND FIVE STAR:)

Answer:

a car moving 40mph has four times as much kinetic energy as one moving 20 mph, while at 60 mph a car carries nine times as much kinetic energy as at 20 mph.

if you need any more info just dm me

Juan rides his horse with a constant
speed of 18 km/h. How far can he travel
in 1/2 hour?

Answers

Answer:

He traveled 9km

Explanation:

To do this problem you need to use the equation which is Speed= distance/time and this problem gives you the speed which is 18 km/h and it gives you the time 1/2 hour so you write the equation 18= d/ 1/2 which his distance is 9km

how much work does a 60kg person do in walking up 5m of stairs

Answers

Answer:

If I’m correct 300 joules

Explanation:

Tafu is working with subatomic particles in the physics lab. a positron is traveling in a straight line down the particle accelerator. tafu models its position with the function p(t)= t2 t â 1 where t>1. in the limit calculations below, if you need to use -â or â, enter -infinity or infinity. (a) calculate the limit

Answers

Answer:

Infinity

Explanation:

When you have a limit approaching infinity one method you can use is to remember that the highest power dominants all of the other ones so when we have (t^2)/t-1 like in your problem, we see that t^2 has the highest power of 2 so if that's going to infinity and it's not being divided by any powers higher than it will just be inifinity.

We have that for the Question, it can be said that  in the limit calculations below, if you need to use -â or â, enter -infinity or infinity. the limit is

[tex]Lim_{t->\infty} p(t)= \infty[/tex]

From the question we are told

Tafu is working with subatomic particles in the physics lab. a positron is traveling in a straight line down the particle accelerator.

tafu models its position with the function

p(t)= t2 t â 1 where t>1.

in the limit calculations below, if you need to use -â or â, enter -infinity or infinity.

(a) calculate the limit

Generally the equation for the Question  is mathematically given as

[tex]p(t)=\frac{t^2}{t-1}\\\\Therefore\\\\For Lim_{\infty}\\\\We have\\\\ Lim_{t->\infty} p(t)= Lim_{t->\infty}\frac{t^2}{t-1}\\\\[/tex]

Since, the equivalent degree of numerator (t^2) is greater than that of the denominator

[tex]Lim_{t->\infty} p(t)= \infty[/tex]

For more information on this visit

https://brainly.com/question/23379286

Other Questions
4. Use the table of values for a quadratic function to identify the following.Xdirection the graph opens:-3axis of symmetry:vertex:ON Wrange:y-intercept:(as an ordered pair)-3-41-3x-intercepts:(as ordered pairs)234interval of increase:interval of decrease: Ill give 100 points please help look at the picture for question Which lines in the poem show enjambment? Select one: O 3 and 4 O 1 and 2 O The entire poem is enjambment O None riddle of the day What is so fragile that saying its name breaks it? Fill in the blank Eyes blue like ____ ______ The speed of a car is 50 mph. Correct to the nearest mph. What are its limits of accuracy? what is the slope of the line graphed below? (3,3) (0,-6) The particles of a substance can have kinetic energy (KE) and potential energy (PE). Which equation best summarizes the internal energy (U) of the substance? The graph below represents the linear equation y=1/2x-3 a second linear equation is represented by the data in the table. What is the solution to the system of e What is the product of one half and two thirds? What is the charge of an electron? A manufacturing company applies factory overhead based on direct labor hours. At the beginning of the year, it estimated that factory overhead costs would be $348,400 and direct labor hours would be 47,000. Actual manufacturing overhead costs incurred were $304,000, and actual direct labor hours were 52,400. The journal entry to apply the factory overhead costs for the year would include a Your family is expanding in number, and so you decide to sell your current home and upgrade to a larger home. You estimate that you can sell your current home for $100,000 and can buy a larger home for $475,000. You plan to use the entire $100,000 sale proceeds as a down payment on the new home and will finance the remainder for 15 years at 4% nominal annual interest compounded monthly. What is your estimated monthly mortgage payment Translate "I learn" into Spanish annee dernler dimanche Jeudi jours lundi mercredi samedi semaine 1. Il y a sept jours dans une 2. Le Jour avant (before) mardi, c'est 3. Il y a douze mois dans une 4. Le mois de novembre a trente 5.1 Dimanche, c'est le jour du week-end. 6. Le jour avant jeudi, c'est Will mark brainlist if you answer this correctly!!! 1. How much thermal energy does a 2kg steel block(c=450J/kgC) lose when it cools from 300C to 20C?please help me and show the working out. please help meeeeeeeeeeesssssssssssss i dont know what to do... im kinda not smart Xavier opened a savings account with a deposit of $12,000.The account earned simple interest.He did not make any additional deposits or withdrawals.At the end of 3 years, the account balance was $12,324.What is the annual interest rate on this account?0.9%1.8%2.7%3.6%