Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
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How much energy is required to move a satellite of mass 1000 kg from the surface of the Earth to an altitude 3 times the radius of the Earth?   I was wondering if I did this question correctly.
Consider a spherical planet of mass M and radius R. How much energy is required to take a rocket of mass m from rest on the surface of the planet to a circular orbit a height h above the surface? (You may not assume h is small).
On the surface of the earth, the gravitational field (with z as vertical coordinate measured in meters) is F =〈0, 0, −g〉.(a) Find a potential function for F.  (b) Beginning at rest, a ball of mass m = 2 kg moves under the influence of gravity (without friction) along a path from P = (3, 2, 400) to Q = (−21, 40, 50). Find the ball’s velocity when it reaches Q.
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