qz8sol_3705sp10 - 1 and M 2 both exert gravitational forces...

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TA: Tomoyuki Nakayama Monday, March 29 th , 2010 PHY 2048: Physic 1, Discussion Section 3705 Quiz 8 (Homework Set # 11) Name: UFID: Formula sheets are not allowed. Calculators are allowed. Do not store equations in your calculator. You need to show all of your work for full credit. ________________________________________________________________________________ Two concentric spherical shells with uniformly distributed masses M 1 and M 2 are situated as shown in the figure below right. a) Find the magnitude of the net gravitational force on a particle of mass m, due to the shells, when the particle is located at radial distance a . If a particle is outside of a shell with mass M, the force due to the shell is the same as that due to a particle with all the mass M concentrated at the center of the shell. Since the particle m is outside of the shell M
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Unformatted text preview: 1 and M 2 , both exert gravitational forces that equal the forces due to particles M 1 and M 2 concentrated at the center of the shells, thus the force is F(a) = G(M 1 +M 2 )m/a 2 b) Find the magnitude of the net gravitational force on a particle of mass m, due to the shells, when the particle is located at radial distance b . If a particle is inside a shell, the net force exerted on the particle by the shell is zero. Now the particle is inside of shell M 2 and outside of shell M 1 , so only shell M 1 exerts force on the particle. We obtain F(b) = GM 1 m/b 2 c) Find the magnitude of the net gravitational force on a particle of mass m, due to the shells, when the particle is located at radial distance c . Now the particle is inside of shell M 1 and M 2 . Neither of them exerts force on the particle. F(c) = 0...
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This note was uploaded on 01/15/2012 for the course PHY 2048 taught by Professor Field during the Fall '08 term at University of Florida.

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