Collision KE converted to heat

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    Collision Heat
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In a completely inelastic collision between two identical balls, all kinetic energy is converted to heat, resulting in increased particle velocity within the balls. This conversion leads to a rise in the mean speed of the particles, indicating a more disorganized state of momentum. Although the total momentum remains zero due to equal and opposite initial momenta, the individual components of momentum in each direction average out to zero post-collision. The discussion highlights the relationship between kinetic energy loss and the disorganization of momentum at the particle level. Ultimately, the collision illustrates how energy transformation affects particle motion without changing the overall momentum of the system.
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Suppose we have to balls with same mass and same speed shot against each other. Let's assume that the collision is completely inelastic. Then both balls will drop to the floor as all their kinetic energy is converted to heat by friction. However - heat is just another word for the speed of the particles the make up the balls. Thus they will receive a boost in velocity and thereby momentum.

Can the lost energy therefore, be interpreted as something that makes the momentum of the individual balls more disorganized?
 
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Momentum is a vector. After the collision the mean speed of random vibrational motion of the particles will be higher than before, but the mean momentum component in each of three orthogonal directions will be zero (neglecting the balls dropping).

Before the collision both balls did have momentum. But the two balls' momenta were equal and opposite, so total momentum is zero both before and after the collision.
 
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