Finding kinetic energy consevered after collision

AI Thread Summary
In a collision between two cars of equal mass moving in opposite directions, the final velocity of the combined wreck is 5 m/s to the east. The initial velocities are 20 m/s west and 30 m/s east for each car, respectively. The relevant equation for kinetic energy is Ek = 1/2mv^2, which helps calculate the initial and final kinetic energies. The discussion emphasizes the need to identify conserved quantities and applicable laws during the collision. Understanding these principles is crucial for determining the fraction of initial kinetic energy conserved post-collision.
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Homework Statement


2 cars of equal mass and traveling in opposite directions on a wet and slippery road collide and lock together after impact. Neither car brakes before the collision. The tangled wreck moves off in an easterly direction at 5 m/s immediately after the collision. if one car was traveling due west at 20 m/s immediately before the collision and the other at 30 m/s.
What fraction of the initial kinetic energy as conserved during the collision?

Homework Equations


Ek=1/2mv^2 - this is the only equation i know that has to do with kinetic energy

The Attempt at a Solution


I have no idea what i have to do
 
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qwerty5050 said:
I have no idea what i have to do
Start by listing equations that you think may be relevant. Perhaps that will trigger an idea or two for an attempt.
 
gneill said:
Start by listing equations that you think may be relevant. Perhaps that will trigger an idea or two for an attempt.
I've been doing that but I'm still not sure what to do.
 
qwerty5050 said:
I've been doing that but I'm still not sure what to do.
Hmm. You haven't posted any, so we can't tell if you're on the right track or not.

The topic is kinetic energy. What equations do you know pertaining to kinetic energy?
 
Try to think of things that remain constant during the given collision. Any law you know that might apply. Think!
 
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