Vertical Elastic Collision Question

AI Thread Summary
A 70.0 kg person drops 8.00 m to a rescue net, which is 1.40 m above the ground, and the goal is to find the required spring constant for the net to ensure the person just touches the ground upon stretching. The discussion revolves around calculating the initial speed of the person as they fall, with the consensus that the initial speed is zero since they simply step out of the window. The conservation of energy principle is emphasized, where the total energy (kinetic and potential) before the fall must equal the total energy after the fall. Participants clarify that only the initial speed is necessary for solving the problem, not the speed at any later time. The focus remains on comparing initial and final energy states to derive the spring constant.
SO_ME
Messages
5
Reaction score
0

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
 
Physics news on Phys.org
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.
 
Back
Top