Question

A force $\overrightarrow{F}=-k(x\hat{i}+y\hat{j})$, 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 $-\frac{1}{2}k{a}^2$
• B. Work done by the force in moving particle along x-axis is $-k{a}^2$
• C. Work done by the force in moving particle along y-axis is $-\frac{1}{2}k{a}^2$
• D. Total work done by the force for overall motion is $-k{a}^2$

Answer 1

Answer: (A), (C), (D)

The correct options are
A Work done by the force in moving particle along x-axis is $-\frac{1}{2}k{a}^2$
C Work done by the force in moving particle along y-axis is $-\frac{1}{2}k{a}^2$
D Total work done by the force for overall motion is $-k{a}^2$