A force $\vec{F} = -k\left(y\hat{i} + x\hat{j}\right)$, where $k$ is a positive constant, acts on a particle moving in the $xy$-plane. Starting from the origin, the particle is taken along the positiv

Question

A force $\vec{F} = -k\left(y\hat{i} + x\hat{j}\right)$ , where $k$ is a positive constant, acts on a particle moving in the $xy$ -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 $(a,a)$ . The total work done by the force on the particle is

A

$-2ka^2$

B

$2ka^2$

C

$-ka^2$

D

$ka^2$

Accepted Answer

$-2ka^2$

Answer

$2ka^2$

Answer

$-ka^2$

Answer

$ka^2$

AIIMS 2017 Physics Work Done by a Variable Force MCQ Question

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