In a Little League baseball game, the 145 g ball enters the strike zone with a speed of 17.0 m/s. The batter hits the ball, and it leaves his bat with a speed of 24.0 m/s in exactly the opposite direction.

What is the magnitude of the impulse delivered by the bat to the ball?

If the bat is in contact with the ball for 1.4 ms, what is the magnitude of the average force exerted by the bat on the ball?

2.465Ns; 1.76N

Explanation:

From Newton's Second Law:

There is a conservation of Momentum hence:

Momentum before the impact equals that after the impact.

Hence.

1. The Impulse is same as the change in Momentum which is;

0.145 * 17 = 2.465Ns { note: 145g in kg is 0.145}

2. From Newton's third Law; force is the rate of change of impulse expressed mathematically as;

F = m*v / t

Where m*v is impulse and t is time given.

F = 2.465 / 1.4 = 1.76N