A sphere uniformly distributed with matter has radius a and total mass 2M. This sphere is surrounded by a thick shell of inner radius b and outer radius c, and total mass 4M. Knowns: G, a b, c a) What is the gravitational field for r < a ? b) What is the gravitational field for a < r < b? c) What is the gravitational field for b < r < c? d) What is the gravitational field for r > c? Φ = ∮g→⋅dA→ = 4πGMEnclosed

A sphere uniformly distributed with matter has radius a and total mass 2M. This sphere is surrounded by a thick shell of inner radius b and outer radius c, and total mass 4M. Knowns: G, a b, c a) What is the gravitational field for r < a ? b) What is the gravitational field for a < r < b? c) What is the gravitational field for b < r < c? d) What is the gravitational field for r > c? Φ = ∮g→⋅dA→ = 4πGMEnclosed

Image text
A sphere uniformly distributed with matter has radius a and total mass 2 M . This sphere is surrounded by a thick shell of inner radius b and outer radius c , and total mass 4 M . Knowns: G , a b , c a) What is the gravitational field for r < a ? b) What is the gravitational field for a < r < b ? c) What is the gravitational field for b < r < c ? d) What is the gravitational field for r > c ?
Φ = g d A = 4 π G M Enclosed

Detailed Answer