Conservation of energy or conservation of momentum

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SUMMARY

This discussion focuses on the principles of conservation of momentum and kinetic energy in the context of an inelastic collision involving a bullet and a block on wheels. The user highlights the discrepancy in the final velocity calculations when applying the conservation of momentum formula, m1*v1=(m1+m2)*v2, versus the kinetic energy formula, 0.5*m1*v1^2=0.5*(m1+m2)*v2^2. The key conclusion is that inelastic collisions do not conserve mechanical energy, leading to different results when using these two conservation laws.

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salami
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OK this is about a bullet hitting a block on wheels (inelastic collision), no friction or energy losses in the problem.

I'm trying to find Velocity of the system after collision

Why is it that if I use conservation of momentum I get a different answer of V than if I used conservation of Kinetic energy.

Momentum
m1*v1=(m1+m2)*v2

K energy
0.5*m1*v1^2=0.5*(m1+m2)*v2^2

You can make up your own numbers...I just don't understand the physics!
 
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It's an inelastic collision--energy is not conserved. Mechanical energy will be lost.
 
The reason you get different numbers is that mechanical energy is NOT conserved in an inelastic collision, while momentum is.
 

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