What fraction of the kinetic energy is converted to other forms in collision?

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Homework Help Overview

The problem involves two blocks on a frictionless track, where one block collides with another stationary block of greater mass. The original poster seeks to determine the fraction of initial kinetic energy converted to other forms during the collision.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between momentum and kinetic energy in the context of the collision, with some suggesting that the first part of the problem must be solved to address the second part.

Discussion Status

There is a progression in the discussion where participants confirm calculations related to momentum and kinetic energy. Some guidance is offered regarding the need to compute total kinetic energies before and after the collision to find the fraction converted to other forms.

Contextual Notes

Participants are working under the assumption that the collision is perfectly inelastic, where the two blocks stick together post-collision. There is a focus on comparing kinetic energies before and after the collision.

dawn_pingpong
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Homework Statement


there are 2 blocks along a frictionless track. block 1 has a mass of m1 and block 2 has a mass of m2. Block 1 is initially moving at a speed of v0. it collides and sticks to the initial stationary block 2. (m2=9m1) what fraction of the inital kinetic energ of the system is converted to other forms (heat, sound...) as a result of the collision?

1)1%
2)10%
3)50%
4)90%
5)95%


Homework Equations


I sort of think this as more of a general knowledge question... this is the 2nd part. the first part ask you to calculate the velocity after collision


The Attempt at a Solution

 
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The figure out part 2, you need to solve part 1.
 
the answer to part 1 is 1/10v0, if I'm not wrong. Used momentum formula.
 
dawn_pingpong said:
the answer to part 1 is 1/10v0, if I'm not wrong. Used momentum formula.

Correct. Now you just need to compute the total kinetic energies before and after the collision, and compare them.
 
yay yay thank you!

initial:final=1 x v^2 : 10 x (0.1v)^2=1:0.1
so 90% of KE was converted to other forms! Thank you once again:D
 

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