Question

The Gravitational force between two objects is 100N . how should distance between these objects changes so that force between them becomes 50N ?

Answer 1

F = G M m / r^2

F1 = 100 N
G , M , m are constant

then

100 x r^2 = G m M ..( equal to K )
100 x r^2 = K
r = underoot K / 10

now
=K / r'^2
100 r^2 = 50 r'^2

2/ 1 = r'^2 / r^2
distance will be increase
because force ( gravitaional ) is inversely proportional to distance square between them .

Answer 2

F = G M m / r^2

F1 = 100 N

G , M , m are constant

then

100 x r^2 = G m M ..( equal to K )

100 x r^2 = K

r = underoot K / 10

now

=K / r'^2

100 r^2 = 50 r'^2

2/ 1 = r'^2 / r^2

distance will be increase

because force ( gravitaional ) is inversely proportional to distance square between them .