(hrwc13p20) Two concentric shells of uniform density having masses M 1 and M 2 a

Question

(hrwc13p20) Two concentric shells of uniform density having masses M1 and M2 are situated as shown in the figure. M1 has a mass of 500 kg and M2 has a mass of 400 kg. Find the force on a particle of mass 1.0 kg when the particle is located at r = A =1.5 m.

Find the force on a particle of mass m when the particle is located at r = B = 0.75 m.

Find the force on a particle of mass m when the particle is located at r = C = 0.25 m. The distance r is measured from the center of the shells.

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Explanation / Answer

a) M1 = 500 kg, M2 = 400 kg

F = G m (M1 + M2) / r2

= 6.67 * 10-11 * 1.0 * (500 + 400) / 1.52

= 2.67 * 10-8 N

b) F = G m M1 / r2

= 6.67 * 10-11 * 1.0 * 500 / 0.752

= 5.93 * 10-8 N

c) F = 0 N

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