Change in Kinetic Energy in a Inelastic collision

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In an inelastic collision between two cars moving towards each other at equal velocity, the change in kinetic energy (ΔK) is calculated by comparing the total kinetic energy before and after the collision. The final kinetic energy (K) considers the combined mass of both cars, as they move together post-collision. To find the change in kinetic energy for each car individually, one must assess their respective kinetic energy changes separately. The total change in kinetic energy of the system is equal to the sum of the changes in kinetic energy for both cars. Understanding these principles is crucial for analyzing inelastic collisions effectively.
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Just had a general question involving the change in Kinetic Energy in a Inelastic collision between 2 cars going towards each other at equal velocity.

ΔK = K - Ko

However for the final K, is the mass the combined mass of both cars since they are now moving together, or is it still the same mass as before the collision?
 
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After using conservation of momentum to determine the speed of the cars after the collision, the change in K of the system is found by comparing the combined energy of both cars before and after the collision. If you are concerned about the change in K of each car separately, then compare each car's change in K separately for each car. The sum total of each car's change in K will be equal to the change in K of the system.
 
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