Question

The gravitational force
of attraction between two
bodies at a distance X is
20N. What will be the force
of attraction between them if the
distance between them is
made 2x ?​

Answer 1

The force is 5 N when the distance is doubled.

Explanation:

We are given that:

• Force of attraction between two bodies = 20 N
• Let's suppose the Initial distance "r1" = x
• Final distance "r2" = 2x

Solution:

First case:

F = G m 1 m2 / x^2

20 N = G m1 m2 / x^2 ---- (1)

Second case:

F2 = G m1 m2 / (2x)^2

F2 = G m1 m2 / 4x^2

Put the value of G m1 m2 / x^2 fro equation (1).

The equation (2) becomes.

F2 = 20 / 4

F2 = 5 N

Thus the force is 5 N when the distance is doubled.