(Conservation of Linear Momentum)How do you find the kinetic energy lost during a collision when you already have both the masses and both the initial and final velocities?

To find the kinetic energy lost during a collision when you have the masses and velocities, you can follow these steps:

1. Calculate the initial total kinetic energy: The initial total kinetic energy is the sum of the kinetic energy of both objects before the collision. It can be calculated using the formula:

Initial Total Kinetic Energy = (1/2) * mass1 * (initial velocity1)^2 + (1/2) * mass2 * (initial velocity2)^2

2. Calculate the final total kinetic energy: The final total kinetic energy is the sum of the kinetic energy of both objects after the collision. It can be calculated using the formula:

Final Total Kinetic Energy = (1/2) * mass1 * (final velocity1)^2 + (1/2) * mass2 * (final velocity2)^2

3. Calculate the kinetic energy lost: The kinetic energy lost during the collision is the difference between the initial and final total kinetic energies. It can be calculated using the formula:

Kinetic Energy Lost = Initial Total Kinetic Energy - Final Total Kinetic Energy

By following these steps, you can determine the kinetic energy lost during the collision based on the given masses and velocities.