The Royal Gorge bridge over the Arkansas River is above

Chapter , Problem 53

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QUESTION:

The Royal Gorge bridge over the Arkansas River is above the river. A 60-kg bungee jumper has an elastic cord with an unstressed length of attached to her feet. Assume that, like an ideal spring, the cord is massless and provides a linear restoring force when stretched. The jumper leaps, and at at her lowest point she barely touches the water. After numerous ascents and descents, she comes to rest at a height h above the water. Model the jumper as a point particle and assume that any effects of air resistance are negligible. (a) Find h. (b) Find the maximum speed of the jumper.

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QUESTION:

The Royal Gorge bridge over the Arkansas River is above the river. A 60-kg bungee jumper has an elastic cord with an unstressed length of attached to her feet. Assume that, like an ideal spring, the cord is massless and provides a linear restoring force when stretched. The jumper leaps, and at at her lowest point she barely touches the water. After numerous ascents and descents, she comes to rest at a height h above the water. Model the jumper as a point particle and assume that any effects of air resistance are negligible. (a) Find h. (b) Find the maximum speed of the jumper.

ANSWER:

Step 1 of 4

The initial energy of the jumper is,

                                                                   

For, ,and get,

                                                               

From the conservation f energy,

                                                                  

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