A satellite of mass mi rotates around Planet X with mass m2 in a circular orbit. The magnitude of the gravitational force is F = G™m, where G is a positive constant and r is the distance between the two masses. (i) What speed must the satellite have in order to orbit at a radius R? (ii) If at time t = 0, the satellite uses thrusters to move from the position (r = R, 0 = 0) to (r = 2R, 0 = 90°), how much work is done by gravity along the satellite's path?

A satellite of mass mi rotates around Planet X with mass m2 in a circular orbit. The magnitude of the gravitational force is F = G™m, where G is a positive constant and r is the distance between the two masses. (i) What speed must the satellite have in order to orbit at a radius R? (ii) If at time t = 0, the satellite uses thrusters to move from the position (r = R, 0 = 0) to (r = 2R, 0 = 90°), how much work is done by gravity along the satellite's path?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 9OQ

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