A diver that weights 69 kg jumps off a springboard with a stiffness (k) equal to 8000 N/m. Standing on the unloaded 3 meter springboard their center of gravity lies 4.31 meters above the surface of the water and during the dive the springboard bends or compresses maximally 0.21 meters vertically from the unloaded or equilibrium state. What is the maximum height in meters that the diver’s center of mass reaches after coming off the diving board during the dive?

A diver that weights 69 kg jumps off a springboard with a stiffness (k) equal to 8000 N/m. Standing on the unloaded 3 meter springboard their center of gravity lies 4.31 meters above the surface of the water and during the dive the springboard bends or compresses maximally 0.21 meters vertically from the unloaded or equilibrium state. What is the maximum height in meters that the diver’s center of mass reaches after coming off the diving board during the dive?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.21P

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A diver that weights 69 kg jumps off a springboard with a stiffness (k) equal to 8000 N/m. a) Standing on the unloaded 3 meter springboard their center of gravity lies 4.31 meters above the surface of the water and during the dive the springboard bends or compresses maximally 0.21 meters vertically from the unloaded or equilibrium state. What is the maximum height in meters that the diver’s center of mass reaches after coming off the diving board during the dive? b) What is diver’s vertical speed in m/s when their hands first hit the water during the dive? Their center of mass is 1.08 meters above the surface of the water at the instant the hands first make contact with the water.
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