Two concentric shells of uniform density having masses Two concentric shells of

Question

Two concentric shells of uniform density having masses Two concentric shells of uniform density having masses M_1 and M_2 are situated as shown in the figure. M_1 has a mass of 400 kg and M_2 has a mass of 800 kg. Find the force on a particle of mass 1.0 kg when the particle is located at r = A = 1.5m. 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.

Explanation / Answer

a) at r = a = 1.5m

f = G(m1+m2)m/a^2

f = 6.67*10^-11*1200 /1.5^2 = 3.56*10^-9 N

b) at t = b = 0.75 m

f = Gm1m/b^2 = 6.67*10^-11*400/0.75^2 = 4.743*10^-9 N

c) at r = c = 0.25 m

f = 0

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