What happens to the force between the two objects if the distance between the two objects is increased by 4 times *?

Option 4 : decrease by four times

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The correct answer is to decrease by four times.

• Newton's law of gravitation explains the gravitational force.

• Newton's law of gravitation states that the two particles in the universe are attracted to each other by a force called the gravitational force which is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.
• F=  G × (M1 × M2) / d2.
• G is a gravitational constant.
• G= 6.67 × 10-11 Newtons kg-2 m2.
• This means that if the distance between the two objects is doubled and since the distance is inversely proportional to the gravitational force it will become 1/(2*2)= 1/ 4.
• Also if the masses are doubled and since masses are directly proportional to the gravitational force it will become 4 times (2*2). 

• Gravitational Potential Energy:
  •  It is the energy possessed by a body at a certain point when work is done by the force of gravity in bringing the object from infinity to that point.
  • The gravitational potential energy between two masses m1 and m2 separated by a distance d is given byU=−Gm1m2U=−Gm1m2r

EXPLANATION:

• The gravitational potential (V) is the gravitational potential energy per unit mass. ⇒V=U⇒V=Um
• At an infinite distance, the gravitational field is assumed to be zero and hence, it will not interact with the mass with regards to gravitational potential. Thus, when E = 0, V = 0.
• We know that the gravitational field inside a spherical shell is zero. The gravitational potential inside a shell is the same as that on the shell.−GMR−GMR. 

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