Question

The gravitational force between the two object is F. If masses of both objects are 1/4^th of their original masses without changing distance between them, then the gravitational force will become.
1. F/4
2. F/8
3. F/12
4. F/16

Answer 1

Correct Answer - Option 4 : F/16

The correct answer is F/16.

Given that, 

m1 = m1/4,

m2 = m2/4,

keeping d = constant.

As F α (m1 × m2 ) /r2

Then the new Force is 

Fnew = G (m1/4) × (m2/4)/r2  = F/16

The correct option is F/16.

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• Gravitational force: It states that the force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.
  • ​It can also be defined as the universal force of attraction, which is acting between objects, is known as the gravitational force.​
  • F = Gm1m2/r2
  • where F = gravitational force between two bodies, m1 = mass of the first body, m2 = mass of the second body, r = distance between the centres of two bodies.