Convservation of Mech. Energy/Momentum

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In collision problems, the conservation of momentum applies to both elastic and inelastic collisions, while conservation of mechanical energy is only applicable in elastic collisions where both momentum and energy are conserved. For elastic collisions, both conservation laws can be used to solve for masses or velocities, and an algebraic manipulation can yield a velocity difference equation. In inelastic collisions, only momentum conservation is valid since some energy is lost to heat or friction, and in perfectly inelastic collisions, both objects move with a single final velocity. Additionally, some collisions may involve a coefficient of restitution that quantifies the relationship between initial and final velocity differences. Understanding these principles is crucial for accurately solving collision problems in physics.
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I have a question about the conservation of momentum and energy in collision problems. What type of situations (elastic/inelastic) can you use the equations to solve for either masses or velocities??

Am I correct?::

Elastic collision: You can use both conservation of momentum + mech. energy to solve for the variables because everything is conserved.

Inelastic collision: You can use only conservation of momentum because some energy is wasted as heat or wasted from friction.

Can someone give me a better explanation or correct me if I'm wrong? Thanks!
 
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Not only can you use energy conservation for elastic collisions, you must use it to solve the problem. An algebraic manipulation can be done to produce a velocity difference equation that can be used instead of the quadratic energy equations for head on collsiions. If a collision is perfectly inelastic, there is only one final velocity for both objects involved.

Some problems fit between these two categories and give a coefficient of restitution that expresses the final velocity difference as a fraction of the initial velocity difference.
 
Yes,you are both right.
conservation of energy can only be used in elastic collision.
And in the inelastic collision the coefficient is
e=(U1-U2)/(v2-v1)
U is former velocity
 
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