Find the amount of work done in moving an object of mass M from surface of earth to up to a depth of R/2?
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Find the amount of work done in moving an object of mass M from surface of earth to up to a depth of R/2?
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Answer:
The below is your answer . Hope it helps you :)
Explanation:
From work-energy theorem, work done = change in potential energy.
Work done = ∫R3Rx2GmMdx=3R2GmM=32mgR.
Please note that the gravitational force will necessarily vary over this height because it is comparable with earth's radius.