How to Calculate Variable Force on a Particle with Varying Coordinates?

[rudransh verma]

Homework Statement

A force $\vec F=-k(y\hat i+ x\hat j)$ where k is constant acts on the particle moving in x-y plane from origin, the particle is taken along the positive x axis to the point (a,0) and parallel to y axis to a point (a,a). The total W by the Force on the particle is

Relevant Equations

W=F.d

$W=-k(y\hat i+ x\hat j)d$. I am not getting the coordinate of particle correctly so that I can find the value of d. Also the force is varying.

 

[Doc Al]

Since the force is varying, you'll need to integrate. The formula you gave is for constant force. And the coordinates are given.

 

[rudransh verma]

Since the force is varying, you'll need to integrate. The formula you gave is for constant force. And the coordinates are given.

Oh yes! Thanks.