9. In Example 2 of Chapter 7 we found that the gravitational force on a mass m inside a spherical earth of uniform density p is F = kr, directed toward the cen- ter, with k =Gpm. (a) For a mass dropped from the surface of the earth down a tunnel straight through the center of the earth, find the time T, to pass entirely through the earth and back again. (b) Compute the speed of the mass m as it passes through the center of the earth. (c) Compare your result for T, with the time 72 required to complete a circular orbit around the globe just above the earth's surface.
9. In Example 2 of Chapter 7 we found that the gravitational force on a mass m inside a spherical earth of uniform density p is F = kr, directed toward the cen- ter, with k =Gpm. (a) For a mass dropped from the surface of the earth down a tunnel straight through the center of the earth, find the time T, to pass entirely through the earth and back again. (b) Compute the speed of the mass m as it passes through the center of the earth. (c) Compare your result for T, with the time 72 required to complete a circular orbit around the globe just above the earth's surface.
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Transcribed Image Text:OSCILLATORY MOTION
9. In Example 2 of Chapter 7 we found that the gravitational force on a mass m
inside a spherical earth of uniform density p is F = kr, directed toward the cen-
ter, with k = TGpm.
(a) For a mass dropped from the surface of the earth down a tunnel straight through
the center of the earth, find the time T, to pass entirely through the earth and
back again.
(b) Compute the speed of the mass m as it passes through the center of the earth.
(c) Compare your result for T, with the time 72 required to complete a circular orbit
around the globe just above the earth's surface.
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