Conservation of momentum and % of energy loss

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In a collision between a 10kg block at 10m/s and a stationary 5kg block, energy loss affects the final velocities of the blocks. If no energy is lost, the blocks will have higher final velocities compared to a scenario with 10% energy loss. Momentum is conserved in collisions, as it is a vector quantity, while energy is a scalar, meaning direction does not factor into energy calculations. This distinction explains how momentum can remain conserved even when energy loss alters the final velocities. Understanding these principles is crucial in analyzing collisions and energy dynamics.
Ocata
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Suppose a block of 10kg at 10m/s collides into a block of 5kg at 0m/s.

Does a given percent of energy loss in the collision affect the final velocity of the blocks after the collision?

For instance, if there is no energy lost in the collision, would the final velocities be faster than if there is 10% energy loss in the collision? If so, then, how is momentum conserved if energy loss can change the final velocities?

Thank you
 
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Ocata said:
if there is no energy lost in the collision, would the final velocities be faster than if there is 10% energy loss in the collision?
Yes.
Ocata said:
then, how is momentum conserved if energy loss can change the final velocities?
Momentum is a vector (direction matters), but energy is a scalar (direction does not matter). Consider two objects with equal masses and speeds, moving in opposite directions. The total energy depends on the speed. The total momentum is zero, regardless of the speed.
 
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