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ID: 2202158 • Letter: H
Question
http://loncapa2.physics.sc.edu/res/sc/gblanpied/courses/usclib/hrw8/hrwpictures/14-35.jpg 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 800 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.Explanation / Answer
Given that two concentric shells of uniform density having masses M_1 and M_2
M_1 = 1700 kg , M_2 = 400 kg
a )Force on the particle of m = 1.00 kg when the particle is located at r = A = 1.5 m
F = G m ( M_1 + M_2 ) / r^2
= 6.67 *10^-11 * 1.00 kg ( 1700 + 400 ) / ( 1.5 m )^2
= 6.22 *10^-8 N
b ) F = G m M_1 / B^2
= 6.67 *10^-11 * 1.0 kg * 1700 kg / ( 0.75 )^2
= 2.01*10^-7 N
c ) F = 0
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