84 kg athlete has his center of gravity 1.19 meters above the ground in a standing position (height that person comes off the ground during a jump).  During a squat jump, he crouches down so that his centre of gravity is 0.75 meters above the ground. As he jumps, he exerts an average force of 1280 Newtons against the ground. You can think of this average exerted force as the average normal force or average ground reaction force being read by the force plate during the takeoff phase of the jump.

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 9.20P: Review. A force platform is a tool used to analyze the performance of athletes by measuring the...
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A 84 kg athlete has his center of gravity 1.19 meters above the ground in a standing position (height that person comes off the ground during a jump).  During a squat jump, he crouches down so that his centre of gravity is 0.75 meters above the ground. As he jumps, he exerts an average force of 1280 Newtons against the ground. You can think of this average exerted force as the average normal force or average ground reaction force being read by the force plate during the takeoff phase of the jump.

a) Determine the maximum height that the person’s center of mass will reach in meters using the concepts of Work and Energy. 
b) What is magnitude of the person’s vertical velocity in m/s just as his feet leave the ground during the maximal vertical jump? 
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