Change in Kinetic Energy in a Inelastic collision

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SUMMARY

The discussion focuses on the change in kinetic energy during an inelastic collision between two cars moving towards each other at equal velocity. The formula for change in kinetic energy is given as ΔK = K - Ko. In this scenario, the final kinetic energy should be calculated using the combined mass of both cars, as they move together post-collision. It is emphasized that for individual analysis, one can assess each car's change in kinetic energy separately, with the total change equating to the system's overall change.

PREREQUISITES
  • Understanding of inelastic collisions
  • Familiarity with the conservation of momentum
  • Knowledge of kinetic energy calculations
  • Basic physics principles regarding mass and velocity
NEXT STEPS
  • Study the principles of inelastic collisions in detail
  • Learn how to apply conservation of momentum in collision scenarios
  • Explore kinetic energy formulas and their applications in physics
  • Investigate the differences between elastic and inelastic collisions
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of collisions and energy transformations in mechanical systems.

DNSalehi
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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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