# ps07sol - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01T Fall Term 2004 Problem Set 7: Potential Energy, Change in Mechanical Energy Solutions Problem 1: Gravitational Potential and Kinetic Energy A satellite of mass m = 5.0 × 10 2 k g is initially in a circular orbit about the earth with a radius × × m s around the earth. Assume the earth has mass m = 6.0 × 10 24 k g and radius r = 6.4 × 10 6 m . Since m >> m , you may find it convenient to ignore r 0 = 4.1 10 7 m and velocity v 0 = 3.1 10 3 e e e certain terms. Justify any terms you choose to ignore. a) What is the magnitude of the gravitational force acting on the satellite? What is the centripetal acceleration of the satellite? b) What are the kinetic and potential energies of the satellite earth system? State any assumptions that you make. Specify your reference point for zero potential energy. What is the total energy? As a result of a satellite maneuver, the satellite trajectory is changed to an elliptical orbit. This is accomplished by firing a rocket for a short time interval and increasing the tangential speed of the satellite to ( 54 v

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## This note was uploaded on 04/22/2011 for the course PHYS 1441 taught by Professor White during the Spring '08 term at UT Arlington.

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ps07sol - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department...

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