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A 75 kg athlete has his center of gravity 1.2 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 0.73 meters above the ground. As he jumps, he exerts an average force of 1390 Newtons against the ground. You can think of this average exerted force as the average normal force or average ground reaction force.

User Raajpoot
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Final answer:

The question pertains to calculus-based physics, dealing with the determination of distance jumped, force exerted, and power output in a squat jump, using principles of dynamics, kinetic energy, and work-power relations.

Step-by-step explanation:

The question involves calculating various physical parameters related to an athlete performing a squat jump. It requires the application of fundamental concepts in physics, specifically dynamics, kinetic energy, and work-power relations. We would need to apply equations of motion to determine the distance the athlete can jump, the work done by the athlete's legs, the force exerted during the jump, and the power output during the acceleration phase.

In the provided scenarios, we use formulas such as ΣF=+F - w = ma to calculate the force exerted by an athlete during a jump. We consider the weight of the athlete as part of the overall force, and the force is calculated by adding the product of mass and acceleration (ma) to the product of mass and gravitational acceleration (mg). By comparing these forces to the athlete's weight, we examine the impact on the body and the efficiency of movement.

When the jumper exerts a force on the ground, the normal force applied by the ground on the jumper propels them into the air. This situation makes use of concepts such as potential and kinetic energy during the jump phases. These examples illustrate the application of physical principles to understand and analyze the forces and energy involved in athletic movements.

User Kojiro
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