Physics Homework Question?

Question

Jane, looking for Tarzan, is running at top speed (4.9 m/s ) and grabs a vine hanging vertically from a tall tree in the jungle.

 

Part A 

How high can she swing upward?

 

Part B

Does the length of the vine affect your answer?

yes or no

 

Answer 1

(a)

Initially Jane is running along the ground with a velocty is 4.9 m/sec.

Kinetic energy : .

Jane can swing up to some height h and momentarily comes to rest.

Potential energy : .

From the law of conservation of energy, .

Substitute and .

Therefore, Jane can swing 1.225 m high.

Answer 2

(b)

From part (a): The Jane swings to a height .

The height does not depends on the length of the vine or the rope.

Longer the vine, the smaller will be the angle required for Jane to swing to reach a particular height.

No, the height does not depends on the length of the vine.