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Question

# A force →F=−k(x^i+y^j), where k is positive constant, acts on a particle moving in the x−y plane. Starting from the origin, the particle is taken along the positive x-axis to the point (a,0) and then parallel to the y-axis to the point (a,a).

A
Work done by the force in moving particle along x-axis is 12ka2
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B
Work done by the force in moving particle along x-axis is ka2
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C
Work done by the force in moving particle along y-axis is 12ka2
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D
Total work done by the force for overall motion is ka2
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Solution

## The correct options are A Work done by the force in moving particle along x-axis is −12ka2 C Work done by the force in moving particle along y-axis is −12ka2 D Total work done by the force for overall motion is −ka2

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