Two concentric shells of uniform density having masses M1 and M2 are situated as

Question

Two concentric shells of uniform density having masses M1 and M2 are situated as shown in the figure. M1 has a mass of 2000 kg and Ma has a mass of 600 kg. Find the force on a particle of mass 1.0 kg when the particle is located at r = A =1.5 m. Tries 0/10 Find the force on a particle of mass m when the particle is located at r = B = 0.75 m. Tries 0/10 Find the force on a particle of mass tn when the particle is located at r = C = 0.25 m. The distance r is measured from the center of the shells. Tries 0/10

Explanation / Answer

part 1: outside both shells, need to count the mass of both shells,

F = GMm/r2 = (6.6738 * 10-11 m3/kg s2)(2600 kg)(1 kg)/(1.5 m)2 = 7.71 * 10-8 N

part 2: ignore outer shell, just calculate with inner shell:

F = GMm/r2 = (6.6738 * 10-11 m3/kg s2)(2000 kg)(1 kg)/(0.75 m)2 = 2.37 * 10-7 N

part 3: is easy, the force is zero

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