# College Physics

posted by .

Tarzan spies a 35kg chimpanzee in severe danger, so he swings to the rescue. He adjusts his strong, but very light, vine so that he will first come to rest 4.0 s after beginning his swing, at which time his vine makes a 12 degree angle with the vertical. (a) How long is Tarzan's vine, assuming that he swings at the bottom end of it? (b) What are the frequency and amplitude (in degrees) of Tarzan's swing? (c) Just as he passes through the lowest point in his swing, Tarzan nabs the chimp from the ground and sweeps him out of the jaws of danger. If Tarzan's mass is 65 kg, find the frequency and amplitude (in degrees) of the swing with Tarzan holding onto the grateful chimp.

• College Physics -

(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.

## Similar Questions

1. ### physics

Tarzan swings on a 27.0 m long vine initially inclined at an angle of 35.0° with the vertical.(a) What is his speed at the bottom of the swing if he starts from rest?
2. ### Physics

Tarzan swings on a 27.0 m long vine initially inclined at an angle of 33.0° with the vertical. (a) What is his speed at the bottom of the swing if he starts from rest?
3. ### physics

Tarzan swings on a 34.0-m-long vine initially inclined at an angle of 33.0° with the vertical. (a) What is his speed at the bottom of the swing if he starts from rest?
4. ### physics

Tarzan (m = 68kg) swings down from a height of 4.8m on a vine to save Jane (m = 35kg) from some hungry hippos. if he gravs jane in an inelastic collision at the bottom of the vine's path, how high will they swing up to after the collision?
5. ### physics

Tarzan is often portrayed as swinging through the jungle from vine to vine. Each of Tarzan's vines are 30 meters long and Tarzan catches each vine when it is at rest 15 degrees to the left of the (downwards) vertical, swings on it …
6. ### College Physics

Tarzan swings on a vine from a cliff to rescue Jane, who is standing on the ground surrounded by snakes. His plan is to push off the cliff, grab Jane at the lowest point of his swing, and carry them both to the safety of a nearby tree …
7. ### NEED HELP PHYSICS!!!

Tarzan (m = 78.4 kg) tries to cross a river by swinging from a vine. The vine is 10 m long. Tarzan doesn't know that the vine has a breaking strength of 1045 N. What maximum speed (in m/s) can Tarzan have at the bottom of the swing …
8. ### NEED HELP ASAP PHYSICS@!!1

Tarzan (m = 78.4 kg) tries to cross a river by swinging from a vine. The vine is 10 m long. Tarzan doesn't know that the vine has a breaking strength of 1045 N. What maximum speed (in m/s) can Tarzan have at the bottom of the swing …
9. ### Physics

Tarzan (80 kg) runs toward a vine at 4.8 m/s where Jane (60 kg) is hanging on. He jumps and grabs the vine. How high does the vine swing?
10. ### physics

Tarzan tries to cross a river by swinging from one bank to the other on a vine that is 11.2 m long. His speed at the bottom of the swing is 7.4 m/s. Tarzan does not know that the vine has a breaking strength of 1.0 ✕ 103 N. What …

More Similar Questions