2007: Problem 20

Topic: Collisions
Concepts: Kinetic energy


Solution:

The kinetic energy is given by

E=12mv2v2E=\frac{1}{2}mv^2 \propto v^2

Since each collision reduces EE by a factor of 22, vv is reduced by a factor of 2\sqrt{2}. We have

26=8\sqrt{2}^6=8

so 6 collisions would reduce vv by a factor of 88. Thus, the answer is C.

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