Our galaxy can be considered to be a large disk of radius R and mass M of
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Our galaxy can be considered to be a large disk of radius R and mass M of approximately uniform mass density.
(a) Consider a ring element of radius r and thickness dr of such a disk. Find the gravitational potential energy of a 1-kg mass on the axis of this element a distance x from its center.
(b) Integrate your result for part (a) to find the total gravitational potential energy of a 1-kg mass at a distance x due to the disk.
(c) From Fx = - dU/dx and your result for part (b), find the gravitational field gx on the axis of the disk.
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Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
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