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
B
-8 J
C
-12 J
D
-16 J

Solution

## The correct option is B -12 JWork 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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