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Gravitational Potential Energy

The work done...

Question

The work done by an external agent to shift a point mass from infinity to the centre of the earth is W. Then choose the correct relation.

A

W

=

0

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B

W > 0

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C

W < 0

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D

W

\leq

0

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Solution

The correct option is C W < 0
$W_{e x t} = Δ U = U_{f} - U_{i} = U_{f} - 0 = U_{f}$
$W_{e x t} = \frac{- 3 G M m}{2 R} \to W_{e x t} < 0$

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