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Question

A block is constrained to move along x-axis under a force F=-2x. Here, F is in newton and x in metre. Find the work done by this force when the block is displaced from x=2 m to x=-4 m.


A
-4 J
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B
-8 J
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C
-12 J
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D
-16 J
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Solution

The correct option is B -12 J
Work done by a body in moving an object from $$x_1$$ to $$x_2$$
$$=\int_{x_1}^{x_2}Fdx$$
$$=\int_{x_1}^{x_2}(-2x)dx$$
$$=x_1^2-x_2^2$$
$$=-12J$$

Physics

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