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High jumpers usually sustain fractures in the lower third of the fibula. The world record for the high jump is held by Javier Sotomayor (Cuba) at 2.45 m (1993). If he weighed 68 kg could muster a run-up speed of 9 m s-1, had a center of mass which was 1.2 m of the floor and took 0.3 s to push off from the floor then calculate the stress in his fibula. Note that during the Fosbury Flop the higher jumper pushes of from the ground using both feet, the cross-sectional area of the fibula is 1 cm2 , and that the fibula plays a minor role in weight-bearing with the tibia supporting approximately 95% of the weight. Stress is defined as force per unit area. i. In order for Javier to make the jump how much energy does he need? Note he only has to raise his center of mass to 2.45 m from 1.2 m. ii. By balancing potential energy and kinetic energy, how much velocity does he need? iii. Given that it took an estimated 0.3 s for this velocity to be acquired, what was his acceleration and what is the force required to generate this acceleration. iv. If the fibula only provides 5% of this force then how much force is that? And given the definition of stress, what is the stress in the fibula?
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Write down an expression for the mass of the nucleus
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What horizontal force acts on the puck after the push
You may also assume that v_0 gg sqrt{2gL}, so that the change in hammer's gravitational potential energy, as it drives the nail into the block, is insignificant.
The fastest pitched baseball was measured at 46 m/s, what force did he produce on the ball during this record-setting pitch
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