a Find a potential function for the gravitational field b Let P 1 and P 2 be points at distance s 1 and s 2 from the origin Show that the work done by the gravitational field in part (a) in moving a particle from P 1 to P 2 is xi yj zk (x F GmM y z2) 2

Question: a. Find a potential function for the gravitational field b. Let P 1 and P 2 be points at distance s 1 and s 2

a. Find a potential function for the gravitational field xi + yj + zk (x + F = -GmM- + y

b. Let P₁ and P₂ be points at distance s₁ and s₂ from the origin. Show that the work done by the gravitational field in part (a) in moving a particle from P₁ to P₂ is + z2)/2

xi + yj + zk (x + F = -GmM- + y + z2)/2

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