Inelastic Collision of Billiard Balls: Kinetic Energy and Impulse Calculations
Calculating Average Force:
Initial Momentum: 0.240 kg * 3.00 m/s = 0.720 kg*m/s
Final Momentum: 0.240 kg * 2.40 m/s = 0.576 kg*m/s
Change in Momentum: 0.576 kg*m/s - 0.720 kg*m/s = -0.144 kg*m/s
Duration of Collision: 0.0150 s
Average Force: -0.144 kg*m/s / 0.0150 s = -9.60 N
Calculating Kinetic Energy Lost:
Initial Kinetic Energy: 1/2 * 0.240 kg * (3.00 m/s)² = 1.080 J
Final Kinetic Energy: 1/2 * 0.240 kg * (2.40 m/s)² = 0.720 J
Kinetic Energy Lost: 1.080 J - 0.720 J = 0.360 J
Calculating Remaining Energy Percentage:
Remaining Energy Percentage: (0.720 J / 1.080 J) * 100% â 66.67%
In the given scenario, the average force exerted on the billiard ball by the bumper is -9.60 N, the kinetic energy lost during the collision is 0.360 J, and approximately 66.67% of the original energy remains after the collision.