What Forces Act on a Tightrope Walker Falling into a Net?

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SUMMARY

The discussion focuses on calculating the average net force acting on a 65 kg tightrope walker falling into a net after reaching a velocity of 9.9 m/s. The key equations involved include the impulse-momentum theorem and the work-energy principle. The average net force can be determined using the equation F * Δt = m * (Vf - Vi), while the kinetic energy at impact is calculated using KE = 1/2 * m * v^2. The G force experienced by the walker can be derived from the net force divided by her weight.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the impulse-momentum theorem
  • Knowledge of kinetic energy calculations
  • Basic principles of work and energy
NEXT STEPS
  • Calculate average net force using F = m * a with known values
  • Explore the relationship between work done and kinetic energy using W = F * d
  • Investigate the concept of G force and its calculation in free-fall scenarios
  • Review elastic potential energy and its application in similar problems
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Physics students, educators, and anyone interested in understanding dynamics and forces in motion, particularly in scenarios involving free fall and energy transfer.

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Homework Statement



A 65 kilogram tightrope walker falls vertically downward with a velocity of 9.9m/s. She falls into a net which stretches 1.5m vertically as it breaks her fall. What is the average net force on the walker as her fall is being broken, and what is the G force that she experiences? Assume no air resistance.

Homework Equations



(Force)*(Change in Time) = (mass)*(Vf - Vi)
(1/2)kx^2 ??

The Attempt at a Solution



Since I was not given an amount of time I am not sure how to start this problem. I know her Vf will obviously be 0 m/s. 9.9 m/s is her initial velocity. From this I can find that

F*(change in time) = (65)(9.9)

but I am still lost as to how to find force or change in time. I thought about using elastic potential energy (1/2 k*x^2) or gravitational potential energy (mgh) but I didn't see how this would help me (especially since I don't know the h).

Could someone please give me some tips as to where to start?

For G force I know that 1 G is equal to 9.81 m/s^2 but that is all.
 
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Err, is that all you're given?

You just have to know her velocity when she reaches the net, so you need to know how far above it she is

Then once you know her velocity when she reaches the net(maybe we're just assuming that it's 9.9m/s?)you know she has kinetic energy 1/2*mv^2

Once the net is done applying a force to her over that 1.5m of distance, she will have had work done on her to cancel her kinetic energy(use W=F*d)
 
Thanks...the problem just said that "her velocity is 9.9m/s" so I'm assuming that is velocity when she hits the net, otherwise, as I thought, it would be impossible to solve. Thanks for the help though...that does make more sense to do it that way.
 

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