An object of mass m is tied to a string of length L and a variable horizontal force is applied on it which starts at zero and gradually increases until the string makes an angle θ with the vertical. Work done by the force F is

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An object of mass m is tied to a string of length L and a variable horizontal force is applied on it which starts at zero and gradually increases until the string makes an angle $θ$ with the vertical. Work done by the force F is

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$m g L$

$m g L (1 - \sin θ)$

$m g L (1 + \cos θ)$

$m g L (1 - \cos θ)$

answer is C.

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Detailed Solution

$W_{F} + W_{g} = C h a n g e i n K E = 0 \Rightarrow W_{F} = - W_{g} = - [- m g (L - L \cos θ)]$ = mgL (1 $-$ cos $θ$ )

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