Vertical Elastic Collision Question

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Homework Help Overview

The problem involves a person falling from a height of 8.00 m onto a rescue net, with the goal of determining the necessary spring constant of the net to ensure the person just touches the ground upon maximum stretch. The subject area includes concepts of energy conservation and elastic collisions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the initial speed of the person as they fall, questioning whether it can be determined without calculations. There is an exploration of energy conservation principles, including potential and kinetic energy.

Discussion Status

The discussion is active, with participants questioning the initial speed of the person and how it relates to the energies involved in the problem. Some guidance has been offered regarding the importance of the initial speed for solving the problem, but no consensus has been reached on its value.

Contextual Notes

Participants are considering the initial conditions of the fall and the energies involved, with some uncertainty about the definitions of kinetic and potential energy in this context.

SO_ME
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Homework Statement



A 70.0 kg person steps through the window of a burning building and drops to a rescue net held 8.00 m below. If the surface of the net is 1.40 m above the ground, what must be the value of the spring constant for the net so that the person just touches the ground when the net stretches down.

Homework Equations



How do I find the velocity of the man falling?

The Attempt at a Solution



Eg + Ee + Ek = Eg' + Ee' + Ek'

Eg + Ek = Ee'

mgh + .5mV2 = .5kx

(70)(9.8)(9.4) + .5(70)V2 = 0.5k(1.4)2
 
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SO_ME said:
How do I find the velocity of the man falling?
What's the man's initial speed? (He just steps through the window and falls.)
 
Doc Al said:
What's the man's initial speed? (He just steps through the window and falls.)
Yea steps through and falls
 
SO_ME said:
Yea steps through and falls
So what do you think his initial speed is?
 
Doc Al said:
So what do you think his initial speed is?
I got 12.2
 
SO_ME said:
I got 12.2
Is that the man's initial speed, when he just steps out the window? Or did you solve for the speed he would have at some later time?

Hint: You should be able to state the man's initial speed immediately--no calculation needed.
 
Doc Al said:
Is that the man's initial speed, when he just steps out the window? Or did you solve for the speed he would have at some later time?

Hint: You should be able to state the man's initial speed immediately--no calculation needed.

0 obviously I'm stating the velocity through the air
 
SO_ME said:
0 obviously I'm stating the velocity through the air
All you need to solve this problem is the man's initial speed, not his speed at some later point. Compare initial energy to final energy.
 
Doc Al said:
All you need to solve this problem is the man's initial speed, not his speed at some later point. Compare initial energy to final energy.

which energies kinetic or potential?
 
  • #10
SO_ME said:
which energies kinetic or potential?
Total energy: Kinetic + potential.
 

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