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Work Done by a Variable Force

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A variable force, given by the equation F(x) = 3x² N, acts on a particle as it moves from position x = 1 m to x = 3 m. Compared to the work done by a constant force of 3 N over the same displacement, the work done by the variable force is:

A

3 times greater

B

9 times greater

C

4 times greater

D

8 times greater

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