38. Gravitational field a. Find a potential function for the gravitational field xi + yj + zk F = -GmM (x² + y² + z²)3/2 (G, m, and M are constants). b. Let P, and P, be points at distance s¡ and s2 from the origin. Show that the work done by the gravitational field in part (a) in moving a particle from P¡ to P2 is GmM S2 S1

38. Gravitational field a. Find a potential function for the gravitational field xi + yj + zk F = -GmM (x² + y² + z²)3/2 (G, m, and M are constants). b. Let P, and P, be points at distance s¡ and s2 from the origin. Show that the work done by the gravitational field in part (a) in moving a particle from P¡ to P2 is GmM S2 S1