How Does Bending Your Knees Reduce the Impact Force When Jumping?

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Bending the knees when landing from a jump significantly reduces the impact force, preventing serious injury. A 68.4-kg man jumping at 4.99 m/s experiences different forces depending on his landing technique. In a stiff-legged landing, he halts in 4.09 ms, resulting in an average net force of approximately 83,451.34 N. When bending his knees, he comes to a stop in 0.296 s, yielding an average net force of about 1,153.09 N. Understanding the forces acting on the body during landing is crucial for calculating the ground's force applied to the man.
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When jumping straight down, you can be seriously injured if you land stiff-legged. One way to avoid injury is to bend your knees upon landing to reduce the force of the impact. A 68.4-kg man just before contact with the ground has a speed of 4.99 m/s. (a) In a stiff-legged landing he comes to a halt in 4.09 ms. Find the magnitude of the average net force that acts on him during this time. (b) When he bends his knees, he comes to a halt in 0.296 s. Find the magnitude of the average net force now. (c) During the landing, the force of the ground on the man points upward, while the force due to gravity points downward. The average net force acting on the man includes both of these forces. Taking into account the directions of the forces, find the magnitude of the force applied by the ground on the man in part (b).
2. (EF)= (-m X Vo)/ delta t



I got a) 83451.34 and b)1153.09 but I don't know what to do for c)
 
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J ≡ Pf - Pi = Faverage*Δt
The formula you used is correct, but remember the original form, where Pf =/= 0 for future problems.

Your answers for (a) and (b) are correct.

For (c), make a free body diagram of the man as he impacts the ground (Remember, he's being decelerated from 4.99 m/s). What forces are acting on him, what is the net force, and what is the source of each of the forces?
 
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