Question

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?

Answer 1

Answer:

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