During her high bar routine from question 2, Gabby Douglas slipped and falls from the high bar, landing on a 10 cm thick gymnastics mat. She strikes the back of her head against the mat during her landing. Her head is moving at 7 m/s when it first strikes the mat. The mass of her head is 5 kg. The impact ends when her head comes to a stop after deflecting the mat 6.5 cm.How much kinetic energy does her head have the instant just before it hits the mat?How much work does the mat do to stop the motion of her head?What average impact force does the mat exert on her head during impact?Estimate the peak impact force exerted by the mat on her head.Estimate the peak acceleration of her head.Express the peak acceleration in g’s.

Velocity of head is (v) = 7 m/s Mass of the head is (m) = 5kg The impact ends when the gymnast's…

Answered: During her high bar routine from…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 67PQ

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During her high bar routine from question 2, Gabby Douglas slipped and falls from the high bar, landing on a 10 cm thick gymnastics mat. She strikes the back of her head against the mat during her landing. Her head is moving at 7 m/s when it first strikes the mat. The mass of her head is 5 kg. The impact ends when her head comes to a stop after deflecting the mat 6.5 cm.
1. How much kinetic energy does her head have the instant just before it hits the mat?
2. How much work does the mat do to stop the motion of her head?
3. What average impact force does the mat exert on her head during impact?
4. Estimate the peak impact force exerted by the mat on her head.
5. Estimate the peak acceleration of her head.
6. Express the peak acceleration in g’s.

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