Question

Gravitational force between 2 bodies is 100N.The distance between them is halved.find the force

Answer 1

Answer:

Force of gravity = Fg = 100N

Fg = $\frac{GMm}{d^2}$

100N = $\frac{GMm}{d^2}$

If the distance (d) between them is halved,

100N = $\frac{GMm}{(d/2)^2}$

100N = $\frac{GMm}{d^2/4}$

100N = 4 * $\frac{GMm}{d^2}$

As we know,

$\frac{GMm}{d^2}$ = Fg

∴ 100N = 4 * Fg

Fg = $\frac{100}{4}$

∴ The force of gravity between the two objects after the distance between them is halved = $\frac{100}{4}$ N = 25N