(a) Calculate the work done from D to O by the force P of Problem 13.82 by integrating along the diagonal of the cube.

(b) Using the result obtained and the answer to part b of Problem 13.82, verify that the work done by a conservative force around the closed path OABDO is zero.

In PROBLEM 13.82

The potential function associated with a force P in space is known to be V(x, y, z) = -(x2 + y2 + z2)1/2.

(a) Determine the x, y, and z components of P.

(b) Calculate the work done by P from O to D by integrating along the path OABD, and show that it is equal to the negative of the change in potential from O to D.

|F D. B