Two objects of masses and are a distance apart and attract each other with force

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Two objects of masses

M

and

m

are a distance

d

apart and attract each other with force

F

. If

M

is unchanged,

m

is halved, and the separation is reduced to

\tfrac{1}{2}d

, express the new gravitational force in terms of

F