1. Consider a mass m initially at rest at a large distance I from center of the earth (I>R the earth's radius). The mass m is released and falls toward the earth. (a) Calculate the speed of the mass as a function of its distance x from the center of the earth. (b) In the approximation that l>>R, how much time does it take for the mass m to reach the earth? Express your answers in terms of R, 1, g (acceleration at the earth's surface) and (for part a) x.
1. Consider a mass m initially at rest at a large distance I from center of the earth (I>R the earth's radius). The mass m is released and falls toward the earth. (a) Calculate the speed of the mass as a function of its distance x from the center of the earth. (b) In the approximation that l>>R, how much time does it take for the mass m to reach the earth? Express your answers in terms of R, 1, g (acceleration at the earth's surface) and (for part a) x.
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Transcribed Image Text:1. Consider a mass m initially at rest at a large distance I from center of the earth (l>R
the earth's radius). The mass m is released and falls toward the earth.
(a) Calculate the speed of the mass as a function of its distance x from the center of
the earth.
(b) In the approximation that l>>R, how much time does it take for the mass m to
reach the earth?
Express your answers in terms of R, 1, g (acceleration at the earth's surface) and
(for part a) x.
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