If R is radius of the earth and W is work done in lifting a body from the ground to an altitude R, the work which should be done in lifting it further to twice that altitude is:
W2
W3
W
3W
A
W3
B
W2
C
W
D
3W
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Solution
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Work done is equal to change in PE.
W=−ΔU=U1−U2=−GMmR−(−GMm2R)=−GMm2R
Work done in lifting body from 2R to 4R.
W′=−ΔU=U1−U2=−GMm2R−(−GMm4R)=−GMm4R=W2
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