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Question

Two persons having mass 50 kg each, are standing 1 m apart from each other. Calculate the force of gravitation and also calculate the force of gravity on each. (Take G=6.67×1011Nm2kg2, mass of earth M=6×1924kg, Radius of earth R=6.4×106m)?

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Solution

m1=m2=50kg,r=1m
G=6.67×1011Nm2kg2
Force of gravitation
F=Gm1m2r2=6.67×1011×50×50(1)2
=1.67×107N
Force of gravity F'=GMmr2
Here r=R (the radius of earth)
and m1=m2=m
F|=6.67×1011×6×1024×50(6.4×106)2
=0.48×103N
F| is much greater than F so the persons will not move towards each other but each of them moves towards the earth.

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