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April 23, 2014

April 23, 2014

Posted by **Jen** on Friday, October 26, 2007 at 4:05pm.

- College Physics -
**drwls**, Friday, October 26, 2007 at 4:18pm(a) For the length L of the vine, use the fact that the period of oscillation (back and forth) is

P = 8.0 s = 2 pi sqrt(L/g)

g is the acceleration of gravity. Solve gor L

b) Picking up the chimp will not affect the frequency/period of vibration, and it will be an inelastic collision process with momentum conserved. The two of them will have their speed at the bottom of the swing reduced by a ratio 65/100. The kinetic energy will be reduced by a (100/65)(65/100)^2 = 0.65 factor

This will reduce the swing amplitude so that

1 - cos theta) is 65% of what it was before, since maximum potential energy is proportional to (1 - cos theta)

Original 1 - cos theta = 0.0219

Final 1 - cos theta = 0.0142

cos theta = 0.9858

theta = 9.7 degrees.

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