The potential energy of a particle in the X-Y plane is given by `U=k(x+y)`, where 'k' is a constant. Find the amount of work done by the conservative force in moving a particle from (1, 1) to (2, 3).

Explanation

Given, `U=k(x+y)`
for `x=1,y=1,U_(1)=k(1+1)=2k`
Similarly `U_(2)=k(2+3)=5k`
workdone = `U_(2)-U_(1)=5k-2k=3k`