Question

2.What happens to the force between two objects, if the mass of one object is doubled? *


1. 2F
2. 1/4 F
3. F
4. F/2​

Answer 1

Answer:

2F

Explanation:

F=

R

2

GMm

(i)

If one mass say, m is doubled, then force is

F

′

=

R

2

2GMm

=2F the force gets doubled.

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Answer 2

Answer :-

When mass of one object is doubled, the force between the objects is also doubled i.e. it becomes 2F [ Option. 1 ]

Explanation:-

By Newton's Universal Law of Gravitation, we know that :-

=> F = GMm/r² ---(1)

Where :-

• F is the gravitational force between

the bodies.

• G is Universal Gravitational Constant.

• M is mass of the 1st body.

• m is mass of the 2nd body.

• r is the distance between the bodies.

Now, when mass of one body is doubled i.e. it becomes 2M, then the new gravitational force between the bodies (F') , will be :-

=> F' = G×2M×m/r²

=> F' = 2GMm/r² ----(2)

On dividing eq.2 by eq.1, we get :-

=> F'/F = [2GMm/r²]/[GMm/r²]

=> F'/F = 2

=> F' = 2F

Thus, the new gravitational force gets doubled.