Question

For two balls of equal masses as shown in figure, the magnitude of gravitational force between them is F,​

Answer 1

Answer: C

Explanation:By Using Newton's Universal Law of Gravitation. Explanation is given in the image below.

Answer 2

Thus the magnitude of force between the masses is F = Gm^2 / d^2

Explanation:

By using Newton's law of gravitation.

F = Gm1m2 / r^2

As the two masses are of equal magnitude. We get

F = G m.m / d^2

F = Gm^2 / d^2

As shown in figure:

The masses are equal = m/2 thus

F = G (m/2)(m/2) / d^2

F = G x m^2 / 4 ÷ d^2 / 4

F = Gm^2 / 4 ÷ d^2 / 4 = Gm^2 / d^2

Thus the magnitude of force between the masses is F = Gm^2 / d^2