How Much Kinetic Energy Is Lost in a Collision Between Two Toy Cars?

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SUMMARY

The discussion focuses on calculating the kinetic energy lost during a collision between two toy cars: a 3 kg car moving at 6 m/s and a 2 kg car moving at 4 m/s in the opposite direction. The final speed of the combined cars post-collision is 2 m/s. The kinetic energy before the impact is calculated for both cars, and the total kinetic energy after the collision is determined. The difference between these values reveals the kinetic energy lost, confirming that momentum is conserved throughout the process.

PREREQUISITES
  • Understanding of basic physics concepts such as momentum and kinetic energy.
  • Familiarity with the formula for kinetic energy: KE = 0.5 * mass * velocity^2.
  • Knowledge of conservation laws in physics, specifically conservation of momentum.
  • Ability to perform calculations involving vectors, particularly in one-dimensional motion.
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  • Calculate kinetic energy for various mass and velocity combinations using the formula KE = 0.5 * mass * velocity^2.
  • Explore the principles of momentum conservation in elastic and inelastic collisions.
  • Investigate real-world applications of kinetic energy loss in vehicle collisions.
  • Learn about energy transformations during collisions and their implications in physics.
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nsingh947
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hi just wondering how you would solve this problem

A 3 kg toy car with a speed of 6 m/s collides head on with a 2kg car traveling in the opposite direction with a speed of 4 m/s. If the cars are locked together after the collision with a speed of 2 m/s, how much kinetic energy is lost?
 
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Find the kinetic energies before impact. Then find the kinetic energy when the two stick together after impact. Find the difference.
 
Momentum is conserved, and kinetic energy is easy to calculate for each object. Incidentally, the problem is overspecified. They could have asked you to calculate the final speed from the masses and initial speeds.
 

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