A major league pitcher can throw a baseball at about 45 m/s (about 100mph). If a baseball has a mass of .55kg how large is the impulse provided by the catchers mitt when he catches the ball.

To calculate the impulse provided by the catcher's mitt when he catches the ball, we'll need to use the equation for impulse:

Impulse = force × time

The force exerted on an object is equal to the rate of change of its momentum. In this case, the catcher's mitt stops the baseball's forward momentum, resulting in a change in momentum.

The formula for momentum is:

Momentum = mass × velocity

Given that the baseball has a mass of 0.55 kg and the pitcher throws the ball at a speed of 45 m/s, we can calculate the initial momentum of the baseball.

Initial momentum = 0.55 kg × 45 m/s

To calculate the final momentum, we can assume that the baseball comes to a complete stop when caught. Therefore, the final momentum is zero.

Since momentum is conserved, the impulse provided by the catcher's mitt is equal to the change in momentum, which is the initial momentum:

Impulse = Initial momentum = 0.55 kg × 45 m/s

Calculating the impulse:

Impulse = 24.75 kg·m/s

Therefore, the impulse provided by the catcher's mitt when catching the ball is 24.75 kg·m/s.