How to Calculate Momentum and Impulse in a Car Collision

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SUMMARY

This discussion focuses on calculating momentum and impulse in car collisions using the principles of physics. To determine the initial and final momentum of a system, one must calculate the individual momentum of each car using the formula P = mv, where P is momentum, m is mass, and v is velocity. The total momentum of the system remains constant in elastic collisions, while in inelastic collisions, some momentum is lost. The impulse experienced during the collision is equal to the change in momentum, which is calculated as the difference between final and initial momentum.

PREREQUISITES
  • Understanding of momentum calculation using the formula P = mv
  • Knowledge of elastic and inelastic collisions
  • Familiarity with the law of conservation of momentum
  • Basic algebra for manipulating equations
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  • Study the differences between elastic and inelastic collisions in detail
  • Learn how to apply the conservation of momentum in multi-object systems
  • Explore impulse-momentum theorem and its applications
  • Investigate real-world examples of car collisions and their analysis
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Students studying physics, automotive engineers, and anyone interested in understanding the dynamics of car collisions and momentum calculations.

Ginny Mac
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Hey ya'll - I am not getting the kind of answers I need to be getting for this lab assignment!

Let's say that I am analyzing a car collision, and I have initial and final velocities (initial=before collision, final=after collision) and the masses of both cars. To calculate initial and final momentum of the system, do I just need to calculate individual momentum quantities for both cars? For instance, find initial and final P for each, and then use P(system)= m1v1 + m2v2...etc. for the i/f values??

In order to find total momentum, would I subtract final from initial?

(And just to be sure I am on the right page...finding momentum for each car is just mass*velocity...?)

Also...collision impulse is equal to the change in momentum...I take this to mean an absolute value quantity. Am I correct in my reasoning? Thank you so much for your time - any suggestions/advice will help. :)
Ciao,
Gin
 
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Is this a completely elastic collision? If it is, the TOTAL momentum of the system doesn't change no matter what. The total momentum is always the sum of each car's momentum.
 
In order to find total momentum, would I subtract final from initial?

that sounds like change in the momentum... although the law of conservation of momentum says the momentum at the beginning and the end stay the same...

so id say that the momentum at the beginning = momentum at the end

so m1vi1 + m2vi2 = m1vf1 + v2vf2

i think I am right even though i haven't done this in a while =P


oh yes if the collision isn't elastic then some momentum will be lost during the process... :X
 

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