Problem $2$

A conservative force which can be derived from the potential energy function $U=x^2{y}^2,$ acts on an object moving in $2$ dimensions. The object moves from the initial position $)=2,y=(3,$ to the final position $)=1,y=(1.$ The initial kinetic energy of the object at $)=2,y=(3,$ is $100$ Joules. Find the final kinetic energy of the object.