20. For motion near the surface of the earth, we usually assume that the gravitational force on a mass m is F = -mgk, but for motion involving an appreciable variation in distance r from the center of the earth, we must use e, = F = where C is a constant. Show that both these F's are conservative, and find the potential for each.
20. For motion near the surface of the earth, we usually assume that the gravitational force on a mass m is F = -mgk, but for motion involving an appreciable variation in distance r from the center of the earth, we must use e, = F = where C is a constant. Show that both these F's are conservative, and find the potential for each.
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Transcribed Image Text:20.
For motion near the surface of the earth, we usually assume that the gravitational
force on a mass m is
F = -mgk,
but for motion involving an appreciable variation in distance r from the center of
the earth, we must use
e, =
F =
where C is a constant. Show that both these F's are conservative, and find the
potential for each.
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