Two concentric spherical shells with uniformly distributed masses M₁ and M₂ are situated as shown in the figure. Find the magnitude of the net gravitational force on a particle of mass m, due to the shells, when the particle is located at each of the radial distances shown in the figure. Fa = NOTE: Give your answer in terms of the variables given and G when applicable (a) What is the magnitude of the net gravitational force if the particle is located outside both shells with a radial distance a? F = M₁ (b) What is the magnitude of the net gravitational force if the particle is located between the two shells with a radial distance b? Fc M₂ ***** - a (c) What is the magnitude of the net gravitational force if the particle is located inside both shells with a radial distance c? -

University Physics Volume 1
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Chapter13: Gravitation
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Problem 88CP: Find the Hohmann transfer velocities, vEllipseEarth and vEllipseMars ,needed for a trip to Mars. Use...
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Two concentric spherical shells with uniformly
distributed masses M₁ and M₂ are situated
as shown in the figure. Find the magnitude of
the net gravitational force on a particle of
mass m, due to the shells, when the particle is
located at each of the radial distances shown
in the figure.
Fa
NOTE: Give your answer in terms of the variables given and G when applicable
(a) What is the magnitude of the net gravitational force if the
particle is located outside both shells with a radial distance a?
F =
M₁
(b) What is the magnitude of the net gravitational force if the
particle is located between the two shells with a radial distance b?
Fc
M₂
******
-
a
(c) What is the magnitude of the net gravitational force if the
particle is located inside both shells with a radial distance c?
=
Transcribed Image Text:Two concentric spherical shells with uniformly distributed masses M₁ and M₂ are situated as shown in the figure. Find the magnitude of the net gravitational force on a particle of mass m, due to the shells, when the particle is located at each of the radial distances shown in the figure. Fa NOTE: Give your answer in terms of the variables given and G when applicable (a) What is the magnitude of the net gravitational force if the particle is located outside both shells with a radial distance a? F = M₁ (b) What is the magnitude of the net gravitational force if the particle is located between the two shells with a radial distance b? Fc M₂ ****** - a (c) What is the magnitude of the net gravitational force if the particle is located inside both shells with a radial distance c? =
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