1. A particle P of mass m, is situated on the axis of a uniform ring of radius a and mass M, as shown on the figure below. dm a) Show that the gravitational force that the ring exerts on the particle is given as GMmx (x² + a²)3/2 F 2 b) Show that when x > a, the gravitational force on the particle is approximately the same as that of a single particle of mass M.
1. A particle P of mass m, is situated on the axis of a uniform ring of radius a and mass M, as shown on the figure below. dm a) Show that the gravitational force that the ring exerts on the particle is given as GMmx (x² + a²)3/2 F 2 b) Show that when x > a, the gravitational force on the particle is approximately the same as that of a single particle of mass M.
College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![1. A particle P of mass m, is situated on the axis of a uniform ring of radius a and mass M, as shown on the
figure below.
dm
Offe
a) Show that the gravitational force that the ring exerts on the particle is given as
GMmx
(x² + a²)3/2
F
2
b) Show that when x > a, the gravitational force on the particle is approximately the same as that of a single
particle of mass M.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90de55eb-769d-4504-ae51-aa767c36dd52%2Fb87c9bbd-3586-41ed-9bde-c2dd1fc918fb%2Fd6oxljp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A particle P of mass m, is situated on the axis of a uniform ring of radius a and mass M, as shown on the
figure below.
dm
Offe
a) Show that the gravitational force that the ring exerts on the particle is given as
GMmx
(x² + a²)3/2
F
2
b) Show that when x > a, the gravitational force on the particle is approximately the same as that of a single
particle of mass M.
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