a) Two concentric shells of uniform density hav- ing masses Minner = 800 kg and

Question

a) Two concentric shells of uniform density hav-

ing masses Minner = 800 kg and Mouter = 640 kg

are situated as shown in the Figure. Find the mag-

nitude of the force on a particle of mass m = 726

kg located at b (68 km from the center of Minner).

b)

Find the magnitude of the force on a particle of mass

m = 726 kg located at "a" (120 km from the center of Minner).

Two concentric shells of uniform density having masses Minner = 800 kg and Mouter = 40 kg are situated as shown in the Figure. Find the magnitude of he force on a particle of mass m = 726 kg located at b (68 km from the center of Minner). Find the magnitude of the force on a particle of mass m = 726 kg located at "a" (120 km from the center of Minner).

Explanation / Answer

a)
only mass closer to the center matter

F = G M m/R^2 = 6.67E-11*800*726/68.0E3^2= 8.38E-15 N

b)

F = G Mtotal m/R^2 = 6.67E-11*(800+640)*726/120.0E3^2= 4.84E-15 N

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