First slide

Concept of potential energy

Question

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

Moderate

A

-3k
B

+3k
C

k
D

none of the above

Solution

Work done by conservative force
= -ΔU
= $U_{i} - U_{f}$
= [k(1+1)]- [k(2+3)]
= -3k

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