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The gravitational potential energy of a rocket of mass 100 kg at a distance 107 m from the earth's mass is 4.8 x 109 joule. The weight of the rocket in newton at a distance 109m is

a
8×10−2
b
8×10−3
c
4×10−3
d
4×10−2

detailed solution

Correct option is D

U=GMmRr  or  GM=Urm……………….(1)weight at a distance r=mg=mGMR2……………………(2)∴ W=m1R2⋅Urm=UrR2=4×109(10)71092=4×10−2

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