Questions
The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is
a
32mgR
b
m g R
c
2mgR
d
12mgR
detailed solution
Correct option is D
Work done =Change in potential energy =Uf-Ui=-GMm(R+h)--GMmRwhere M is the mass of earth and R is the radius of earth.∴ W=GMm1R-1(R+h) Now, h=R ∴W=GMm1R-12R=GMm2R ⇒ W=mgR2 ∵ g=GMR2Talk to our academic expert!
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