Kinetic energy lost during a collision?

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Homework Help Overview

The discussion revolves around a problem in mechanics, specifically focusing on a completely inelastic collision involving two objects with different masses and initial velocities. The original poster seeks to determine the final velocity of the combined mass post-collision and the kinetic energy lost during the event.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply conservation of momentum and kinetic energy formulas to solve for the final velocity and energy loss. Some participants question the calculations and the interpretation of kinetic energy before and after the collision, suggesting a need for clarity on variable definitions.

Discussion Status

Participants are actively engaging with the original poster's calculations, providing feedback on potential errors and encouraging a reevaluation of the approach. There is a focus on ensuring the correct application of physics principles, particularly regarding energy conservation and variable consistency.

Contextual Notes

There is a noted confusion regarding the definitions of variables used in the momentum and kinetic energy equations, which may affect the understanding of the problem. Additionally, the original poster's calculations have raised questions about the interpretation of kinetic energy loss.

nips
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Homework Statement


A 1kg object traveling at 1 m/s collides head-on with a 2 kg object initially at rest. If the collision is completely inelastic, determine a) the velocity of the objects after impact and b) how much kinetic energy was lost during the collision.

Homework Equations


Part a) m1v1 + m2v2 = (m1+m2)v'
Part b) ke before =1/2m1v1^2, ke after= 1/2 (m1 + m2)v2^2

The Attempt at a Solution


Part a)
m1v1 + m2v2 = (m1+m2)v'
1 + 0 = 3(v')
v' = 1/3

Part b)
KE before: 1/2 m1v1^2
.5 (1)(1^2)
=.5
KE after: 1/2 (m1+m2)v2^2
.5(3)(0) = 0?

KE Lost:
(kinetic before - kinetic after)/kinetic before
(.5-0)/.5 = 1??
 
Last edited:
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nips said:
did i do this right?

You have the system gaining energy! That can't be right. Check your figures.

Plus, you found the fractional loss, and you were asked for just the loss.
 
nips said:

Homework Statement


A 1kg object traveling at 1 m/s collides head-on with a 2 kg object initially at rest. If the collision is completely inelastic, determine a) the velocity of the objects after impact and b) how much kinetic energy was lost during the collision.

Homework Equations


Part a) m1v1 + m2v2 = (m1+m2)v'
Part b) ke before =1/2m1v1^2, ke after= 1/2 (m1 + m2)v2^2

Explain what are v1, v2 and v'.
 
The velocities you're using for kinetic energy are wrong; try to use the same variable names as with your momentum equation.
 

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