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

AI Thread Summary
A 65 kg tightrope walker falls at a velocity of 9.9 m/s into a net that stretches 1.5 m, and the problem requires calculating the average net force and the G force experienced during the fall. The initial velocity is given as 9.9 m/s, and the final velocity upon reaching the net is 0 m/s. To find the average force, the kinetic energy of the walker must be considered, using the work-energy principle where work done by the net equals the change in kinetic energy. The discussion emphasizes the need to assume the initial velocity is maintained until impact, allowing for calculations based on the net's distance and the walker's mass. Understanding these principles is crucial for solving the problem effectively.
tod88
Messages
11
Reaction score
0

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.
 
Physics news on Phys.org
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.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Back
Top