Force Exerted From the Ground During a Jump.

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SUMMARY

The discussion focuses on calculating the force exerted by the ground during a jump, specifically for a person who reaches a maximum height of 60cm. The initial speed required to achieve this height is determined to be 3.4 m/s. The key equation to solve Part B of the problem involves expressing the force in terms of the jumper's weight (w). The relationship between weight and mass is crucial, as the jumper's weight is defined as w = mg, where m is the mass and g is the acceleration due to gravity.

PREREQUISITES
  • Understanding of basic physics concepts such as force, weight, and acceleration.
  • Familiarity with kinematic equations, particularly ƩFy=may.
  • Knowledge of gravitational force calculations (w=mg).
  • Ability to manipulate algebraic expressions to derive relationships between variables.
NEXT STEPS
  • Study the derivation of the kinematic equations used in projectile motion.
  • Learn how to calculate forces in dynamic systems using Newton's second law.
  • Explore the relationship between weight and mass in different gravitational fields.
  • Investigate the concept of impulse and momentum in relation to jumping mechanics.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the mechanics of jumping and the forces involved in athletic performance.

JSpadafore
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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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