Question

A billiard ball strikes and rebounds from the cushion of a pool table perpendicularly. The mass...

A billiard ball strikes and rebounds from the cushion of a pool table perpendicularly. The mass of the ball is 0.38 kg. The ball approaches the cushion with a velocity of +2.50 m/s and rebounds with a velocity of -1.80 m/s. The ball remains in contact with the cushion for a time of 3.00 × 10-3 s. What is the average net force (magnitude and direction) exerted on the ball by the cushion?

F =...... (number) .......

the tolerance is +/-2%

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Answer #1

from the impulse momentum theorem

Ft = change in momentum

Ft= m ( vf- vi)

F = m ( vf- vi)/ t

= 0.38 ( -1.8-2.5)/3.0* 10^-3 s

=-544.66 N

magnitude of force is 544.66 N

The answer is negative, indicating that the force is directed away from the cushion

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