Force Exerted From the Ground During a Jump.

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To determine the force exerted by the ground during a jump, the jumper's weight (w) is essential. The initial speed required to reach a height of 60cm is calculated as 3.4m/s. The jumper accelerates from rest to this speed while rising 0.5m, allowing for the calculation of acceleration. The relationship between weight and mass is crucial, as the force can be expressed in terms of the jumper's weight. Understanding these dynamics will lead to the correct formulation of the force exerted by the ground.
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Hello! This problem has been driving me crazy all week long, and now I am down to the last few hours before the assignment is due. Any help would be greatly appreciated!

Homework Statement



An average person can reach a maximum height of about 60cm when jumping straight up from a crouched position. During the jump itself, the person's body from the knees up typically rises a distance of around 50cm. To keep the calculations simple and yet get a reasonable result, assume that the entire body rises this much during the jump.

Part A required me to find the initial speed a person would need to reach a maximum height of 60cm, for which I correctly answered 3.4m/s.

Part B is where I find myself stuck. It asks, "In terms of this jumper's weight (w), what force does the ground exert on him or her during the jump?"The answer will read:
F= ___ w.

Homework Equations



ƩFy=may
w=mg
...

The Attempt at a Solution



Honestly, I've just been trying to figure out how I am supposed to get anywhere without first knowing the mass of the person jumping. I suspect it has something to do with the initial speed I had calculated for Part A being related to an opposite force, coming from the ground going to the person jumping.
 
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The body accelerates from zero to 3.4 m/s speed during the first stage of the jump, while rising 0.5 m. Determine the acceleration. From the acceleration, you can find the force.

ehild
 
JSpadafore said:
Honestly, I've just been trying to figure out how I am supposed to get anywhere without first knowing the mass of the person jumping.
You are asked to express the answer in terms of the jumper's weight. So given the weight as W, what's his mass?
 
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