How Much Force Stops a Pole Vaulter?

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SUMMARY

The discussion focuses on calculating the constant force exerted on a 58 kg pole vaulter who falls from a height of 5.3 meters and comes to rest in 0.38 seconds upon landing on a foam rubber pad. The initial calculations incorrectly assumed the acceleration due to gravity instead of determining the landing velocity first. The correct approach involves using the equations of motion to find the initial velocity upon impact and then calculating the retardation to determine the force exerted during the collision.

PREREQUISITES
  • Understanding of kinematic equations, specifically d = Vi(t) + (1/2)(a)(t²) and Vf = Vi + (a)(t)
  • Basic knowledge of Newton's second law of motion (F = ma)
  • Familiarity with concepts of velocity and acceleration
  • Ability to perform calculations involving mass, force, and time
NEXT STEPS
  • Calculate the initial landing velocity of the pole vaulter using the kinematic equation.
  • Determine the retardation experienced by the pole vaulter during the collision with the foam pad.
  • Apply Newton's second law to find the force exerted on the pole vaulter.
  • Explore the effects of different landing surfaces on the force experienced by athletes.
USEFUL FOR

Physics students, sports scientists, coaches, and anyone interested in the biomechanics of pole vaulting and impact forces in sports.

sensesfail
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Homework Statement


a 58kg pole vaulter falls from rest from a height of 5.3m onto a foam rubber pad. the pole vaulter comes to rest 0.38 seconds after landing on the pad

Calculate the constant force exerted on the pole vaulter due to the collision. Answer in N


Homework Equations



d = Vi(t) + (1/2)(a)(t²)
Vf = Vi + (a)(t)

The Attempt at a Solution



d = Vi(t) + (1/2)(a)(t²)
5.3 = 0 + (1/2)(a)(.38²)
73.4 m/s² = a

Vf = Vi + (a)(t)
Vf = 0 + (73.4)(.38)
Vf = 27.89 m/s
 
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d = Vi(t) + (1/2)(a)(t²)
5.3 = 0 + (1/2)(a)(.38²)
73.4 m/s² = a
This is wrong. You have to find the velocity with which he lands on the rubber pad. That is his initial vlocity. And his final velocity is zero..Time is given. Find the retardation and hence the force.
 

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