The potential energy associated with a force F acting on an object is V = x2 + y3 N-m, whe...

The potential energy associated with a force F acting on an object is V = x2 + y3 N-m, where .x and y are in meters.

(a) Determine F.

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(b) Suppose that the object moves from position 1 to position 2 along path A, and then moves from position 1 to position 2 along path B. Determine the work done by F along each path.