Problem 33:   Planet 1 has mass 3M and radius R, while Planet 2 has mass 4M and radius 2R. They are separated by center-to-center distance 8R. A rock is placed halfway between their centers at point O. It is released from rest, and you may ignore any motion of the planets. Part (b)  Calculate the magnitude of the acceleration of the rock (in m/s2) the moment it is released, using M = 59 × 1025 kg and R = 33 × 108 km.   Part (d)  Calculate the speed the rock crashes into the planet in m/s.

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
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Problem 33:   Planet 1 has mass 3M and radius R, while Planet 2 has mass 4M and radius 2R. They are separated by center-to-center distance 8R. A rock is placed halfway between their centers at point O. It is released from rest, and you may ignore any motion of the planets.

Part (b)  Calculate the magnitude of the acceleration of the rock (in m/s2) the moment it is released, using M = 59 × 1025 kg and R = 33 × 108 km. 

 Part (d)  Calculate the speed the rock crashes into the planet in m/s. 

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