ps5_soln - Physics 105 Problem Set 5 Solutions Problem 1(3...

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Unformatted text preview: Physics 105 Problem Set 5 Solutions Problem 1 (3 pts) A simple way to solve this problem is to study the motion of the spacecraft in the rest frame of the planet, Figure 1. Since the planet is much more massive than the spaceship, this frame is effectively the center-of-mass frame. In this frame, the spacecraft is approaching the planet with relative velocity ˜ v = v- v p , which follows from the transformation law for velocities between frames of reference. Since v has opposite M v=0 v+v p p v p v f v+v p v+v Figure 1: Motion of the spacecraft in the rest frame of the planet. orientation to v p , the magnitudes of velocities add: ˜ v = v + v p . The spacecraft comes close to the planet and flies away in a different direction with the same velocity by conservation of energy. In the original frame of reference, the final velocity of the spacecraft is perpendicular to the initial velocity in the frame where the planet is moving. We transform the velocity of the spacecraft from the planets frame to the original by adding...
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This note was uploaded on 11/05/2011 for the course PHY 105 at Princeton.

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ps5_soln - Physics 105 Problem Set 5 Solutions Problem 1(3...

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