Two objects of masses mi and me when separated by a distance d' in air, attract each other
with a force of 4 N. How will the magnitude of the force change, when the masses of both
the objects are reduced to half?
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Answer:
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Explanation:
According to Sir Newton's gravitational law the magnitude of gravitational force F between objects of mass m
1
and m
2
separated by a distance R is given by ,
F=G
R
2
m
1
m
2
............eq1 ,
now if the distance between them is doubled i.e. 2R ,then the gravitational force will be ,
F
′
=G
(2R)
2
m
1
m
2
=G
4R
2
m
1
m
2
,
now by using eq1 ,
F
′
=F/4
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