Question: The force F = (xi + yj + zk) / (x2 + y2 + z2)3/2 acts on the particle P(x,y,z) which moves in space. (a)

The force F = (xi + yj + zk) / (x2 + y2 + z2)3/2 acts on the particle P(x,y,z) which moves in space.

(a) Using the relation derived in Prob. 13.77, prove that F is a conservative force.

(b) Determine the potential function V(x,y,z)associated with F.

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