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Relation between Work Done and PE

A particle mo...

Question

A particle moves under the influence of a force F = CX from X = 0 to $X = X_{1}$ . The work done in this process will be

A

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B

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C

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D

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Solution

The correct option is A
$W = \int_{x_{1}}^{x_{2}} F d x = \int_{0}^{x_{2}} c x d x = \frac{1}{2} C x^{2}$

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