A fraternity brother finds an old bungee cord at a garage sale and is contemplating on having a bungee jump event. He measures the spring constant of the cord (assume it is a linear spring) by applying a 500 N force to it and measuring a stretch of 2.5 m. Your job is to help him estimate how tall the jump tower should be. He knows the cord is L = 40 m long, he expects the cord to stretch d for an average 60 kg guy like himself, and at maximum stretch he wants his feet to still be 10 m above the ground. Determine: a. The maximum distance, d, the cord would stretch if a 60 kg brother jumped from tower height, H. b. The force developed in the cord at his max stretch position. c. Calculate the expected tower height. d. The velocity of the brother 40 m below from the topmost level of the tower.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter6: Energy Of A System
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A fraternity brother finds an old bungee cord at a garage sale and is contemplating on having a bungee jump event.
He measures the spring constant of the cord (assume it is a linear spring) by applying a 500 N force to it and measuring a
stretch of 2.5 m. Your job is to help him estimate how tall the jump tower should be. He knows the cord is L = 40 m long,
he expects the cord to stretch d for an average 60 kg guy like himself, and at maximum stretch he wants his feet to still be
10 m above the ground. Determine:
a. The maximum distance, d, the cord would stretch if a 60 kg brother jumped from tower height, H.
b. The force developed in the cord at his max stretch position.
c. Calculate the expected tower height.
d. The velocity of the brother 40 m below from the topmost level of the tower.
TITI
Transcribed Image Text:A fraternity brother finds an old bungee cord at a garage sale and is contemplating on having a bungee jump event. He measures the spring constant of the cord (assume it is a linear spring) by applying a 500 N force to it and measuring a stretch of 2.5 m. Your job is to help him estimate how tall the jump tower should be. He knows the cord is L = 40 m long, he expects the cord to stretch d for an average 60 kg guy like himself, and at maximum stretch he wants his feet to still be 10 m above the ground. Determine: a. The maximum distance, d, the cord would stretch if a 60 kg brother jumped from tower height, H. b. The force developed in the cord at his max stretch position. c. Calculate the expected tower height. d. The velocity of the brother 40 m below from the topmost level of the tower. TITI
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