What is the average force exerted on the billiard ball by the bumper during the collision? How much kinetic energy is lost during the collision? What percentage of the original energy remains after the collision?

Question

Rogers · Answer

To calculate the average force exerted on the ball by the bumper, we can use the formula for impulse, which is equal to the change in momentum. The initial momentum of the ball can be calculated by multiplying its mass (0.240 kg) by its initial velocity (3.00 m/s). The final momentum can be calculated by multiplying its mass by its final velocity (2.40 m/s). The change in momentum is equal to the final momentum minus the initial momentum. The collision lasts for 0.0150 s, so we can calculate the average force by dividing the change in momentum by the duration of the collision.  To calculate the kinetic energy lost during the collision, we can use the formula for kinetic energy, which is equal to one-half times the mass times the velocity squared. The initial kinetic energy can be calculated by substituting the initial mass (0.240 kg) and velocity (3.00 m/s) into the formula. The final kinetic energy can be calculated by substituting the final mass (0.240 kg) and velocity (2.40 m/s) into the formula. The kinetic energy lost is equal to the initial kinetic energy minus the final kinetic energy.  To calculate the percentage of the original energy that remains after the collision, we can divide the final kinetic energy by the initial kinetic energy and multiply by 100.

Inelastic Collision of Billiard Balls: Kinetic Energy and Impulse Calculations

Calculating Average Force:

Calculating Kinetic Energy Lost:

Calculating Remaining Energy Percentage:

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