The force acts on the particle P(x, y, z) which moves in space. (a) Using the relations derived in Prob. 13.79, prove that F is a conservative force. (b) Determine the potential function V(x, y, z) associated with F.
Prob. 13.82, The potential function associated with a force P in space is known to be (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