Inelastic collision, determine ratio KEf/KEi

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Homework Help Overview

The discussion revolves around an inelastic collision problem, specifically focusing on determining the ratio of final kinetic energy to initial kinetic energy (KEf/KEi) in two extreme scenarios involving a train and a car. The participants are exploring the implications of mass and velocity in these collisions.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are questioning the lack of specific mass and velocity values necessary for solving the problem. Some suggest using typical values for approximation, while others propose defining variables for mass and speed to derive a general formula for the energy ratios.

Discussion Status

The discussion is active, with participants offering different perspectives on how to approach the problem. Some have provided guidance on using approximations and defining variables, while others are still seeking clarification on the initial question.

Contextual Notes

There is a noted absence of specific numerical values for masses and velocities, which is causing some confusion among participants. The nature of the problem suggests that assumptions about typical values may be necessary for analysis.

Anonymous123451234
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Consider the following extreme cases for a completely inelastic collision. In each case, determine the approximate ratio KEf/KEi.
a) A moving train collides with a stationary car.
b) A moving car collides with a stationary train.

I do not understand this question, I'm not given masses or velocities. Can anyone explain?
 
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You can use typical values, the answer won't depend on your specific choice. You are asked for approximations. A car might have a mass of 500 kg (very light car) or 3000 kg (very heavy car), but it won't have a mass of 10 kg or 100,000 kg.
 
Hello,

I suppose KEf/KEi is the ratio Final Kinetic Energy / Initial Kinetic Energy.

You must answer the following questions:

1) What will be the final velocity (approximately) in each case?
2) What will be the final mass of the two bodies in case (a)?
3) What is the ratio Final Kinetic Energy / Initial Kinetic Energy (simplify the fraction till you get a number)?
4) What is the acceptable range for KEf/KEi value?
 
Anonymous123451234 said:
Consider the following extreme cases for a completely inelastic collision. In each case, determine the approximate ratio KEf/KEi.
a) A moving train collides with a stationary car.
b) A moving car collides with a stationary train.

I do not understand this question, I'm not given masses or velocities. Can anyone explain?
Rather than plug in numbers (pace @mfb), I would create unknowns: m for the mass of the car, M for the much larger mass of the train, and u for collision speed. Once you have the formulae for the energy ratios, you can consider how they are affected by the mass ratio.
 

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