## What is the Magnitude of the Impulse Delivered?

**In a Little League baseball game, the 145 g ball enters the strike zone with a speed of 15.0 m/s. The batter hits the ball, and it leaves his bat with a speed of 20.0 m/s in exactly the opposite direction.**

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

**Known Variables:**

**(ball) mass (m1) :** .145 kg

**initial velocity (v1):** 15 m/s

**final velocity (v2):** -20 m/s

**magnitude of the impulse equation:**

**m(vf – vi) **=

(0.145 kg)[20.0 m/s – (-15.0 m/s)] =

5.08 kg*m/s

**2) If the bat is in contact with the ball for 1.5 ms, what is the magnitude of the average force exerted by the bat on the ball?**

We know the equation of Impulse:

*I*= F(t)

**5.08 kg-m/s = (F)(t)**

Convert milliseconds(ms) to proper units, seconds(s).

1.5ms/1000= .0015 s

5.08 kg-m/s = (F)(.0015 s)

**Solve for F**

**F= (5.08 kg-m/s) /(.0015 s)**

**F =** 3380 N

rounded would yield

**F= **3400 N

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