A force does work on a 50 g particle as the particle moves along the following straight paths in the xy-plane: 25 J from (0 m, 0 m) to (5 m, 0 m); 35 J from (0 m, 0 m) to (0 m, 5 m); –5 J from (5 m, 0 m) to (5 m, 5 m); –15 J from (0 m, 5 m) to (5 m, 5 m); and 20 J from (0 m, 0 m) to (5 m, 5 m).
a. Is this a conservative force?
b. If the zero of potential energy is at the origin, what is the potential energy at (5 m, 5 m)?