A force , where is a positive constant, acts on a particle moving in the - plane.…

PHYSICS · Single correct · AP · Physics C: Mechanics · Work Energy and Power · Work Energy and Power

Problem

A force

\mathbf{F}=-k(y\hat{i}+x\hat{j})

, where

k

is a 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

(a,0)

and then parallel to the

y

-axis to

(a,a)

. The total work done by

\mathbf{F}

on the particle is (1)

-2ka^2

(2)

2ka^2

(3)

-ka^2

(4)

ka^2