Finding velocity in an elastic problem

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    Elastic Velocity
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Homework Help Overview

The problem involves an elastic collision scenario where a baseball collides with a person on a tire swing. The participants are tasked with finding various velocities and changes in kinetic energy following the collision, as well as determining the height reached by the person after catching another ball.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss using conservation of momentum and energy to solve for unknown velocities, but express uncertainty about how to proceed with multiple unknowns.
  • Some participants question the initial and final heights in the context of energy conservation.
  • There is confusion regarding the calculation of the angle theta needed to determine the height reached by the person on the swing.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some have suggested using conservation laws, while others are questioning the assumptions made about initial and final conditions. There is no explicit consensus, but various lines of reasoning are being examined.

Contextual Notes

Participants note constraints such as the lack of information regarding the angle theta and the initial and final heights in the energy equations. The problem's setup and assumptions are under scrutiny, particularly in relation to the elastic collision and the subsequent motion of the swing.

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Homework Statement

herman(m=135kg) is sitting motionless on a tire swing. eddie hits a baseball (m=2kg) and v=169 m/s. L=3.2m. (A)what is the velocity of the ball after the collision and (B) what is the velocity of herman after the collision. (C) what is herman's change in KE. (D) eddie hits another ball and this time herman catches it. as a result herman moves a height h, how fast was the ball going this time?

Homework Equations

p(0)=p(f), KE=1/2mΔv^2, p=J=mgh=mv

The Attempt at a Solution

. (A and B) i started out with my p(0)=p(f), but i have two unknown velocities so iam not sure where to go from there?
i think for C, i can just use the found velocities to find the change in KE. For the last one i know that h=l-lcos(theta) so i plugged that into mgh=mv.
thanks for help!
 
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hi omc1! :smile:

according to your title, this is an elastic collision (for parts A-C),

so you can use conservation of energy as well as the usual conservation of (angular) momentum :wink:
 
hi,
so when I do p0+k0=pf+kf, I get that velocity initial equals velocity final, but I am not sure what the height is? I thought that it would be 0 for initial and finial??
 
omc1 said:
I get that velocity initial equals velocity final

how can that be?? :confused:

we don't seem to be talking about the same question :redface:
 
this is a dumb question but how to I find theta for this problem to solve for the h that herman goes. because I only know the length L.
 
tiny-tim said:
how can that be?? :confused:

we don't seem to be talking about the same question :redface:

so when I try to find the velocity of the ball, i did 1/2mv^2+mh=1/2mv^2+mgh
but i didnth this that the ball had a height?
for the velocity of herman I know he had a final height...L-Lcostheata. but I don't know how to get theta because i only have the length of the one side...
 

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