Question

A billiard ball strikes and rebounds from the cushion of a pool table perpendicularly. The mass of the ball is 0.38kg. The ball approaches the cushion with a velocity of +2.30 m/s and rebounds with a velocity of -1.90 m/s. The ball remains in contact with the cushion for a time of 3.20 x 10⁻³ s. What is the average net force (magnitude and direction) exerted on the all by the cushion?

Answer 1

To find the average net force exerted on the ball by the cushion, we can use the impulse-momentum theorem. The impulse is equal to the change in momentum of the ball. The average net force can then be found by dividing the change in momentum by the time of contact with the cushion.

Step-by-step explanation:

To find the average net force exerted on the ball by the cushion, we can use the impulse-momentum theorem. The impulse is equal to the change in momentum of the ball. The change in momentum of the ball can be calculated by subtracting the final momentum from the initial momentum. The average net force can then be found by dividing the change in momentum by the time of contact with the cushion.

Given:

• Mass of the ball (m) = 0.38 kg
• Initial velocity (v1) = 2.30 m/s
• Final velocity (v2) = -1.90 m/s
• Time of contact (t) = 3.20 x 10-3 s

Calculating the change in momentum:

(p2 - p1) = m * (v2 - v1)

Calculating the average net force:

Average net force (F) = (p2 - p1) / t

Substituting the given values into the equations:

(p2 - p1) = 0.38 kg * (-1.90 m/s - 2.30 m/s)

Average net force (F) = (p2 - p1) / (3.20 x 10-3 s)

Solving the equations will give us the magnitude and direction of the average net force exerted on the ball by the cushion.