# Momentum

1. A pitcher claims he can throw a 0.145 kg baseball with as much momentum as a speeding bullet. Assume that a 3.00 g bullet moves at a speed of 1.50 x 10^3 m/s.

a. What must the baseball's speed be if the pitcher's claim is valid?

B. Which has greater kinetic energy, the ball or the bullet?

2. What is the relationship between impulse and momentum?

3. A grocery shopper tosses a 9.0 kg bag of rice into a stationary 18.0 kg grocery cart. The bag hits the cart with a horizontal speed of 5.5 m/s toward the front of the cart. What is the final speed of the cart and bag?

4. During practice, a student kicks a 0.40 kg soccer ball with a velocity of 8.5 m/s to the south into a 0.15 kg bucket lying on its side. The bucket travels with the ball after the collision.

a. What is the final velocity of the combined mass?

5. A 16.0 kg canoe moving to the left at 12 m/s makes an elastic head-on collision with a 4.0 kg raft moving to the right at 6.0 m/s. After the collision, the raft moves to the left at 22.7 m/s. Disregard any effects of the water.

A. Find the velocity of the canoe after collision.

#### Solution Preview

1. A pitcher claims he can throw a 0.145 kg baseball with as much momentum as a speeding bullet. Assume that a 3.00 g bullet moves at a speed of 1.50 x 10^3 m/s.

a. What must the baseball's speed be if the pitcher's claim is valid?

momentum =mv

momentum of speeding bullet= 4.5 kg-m/s =3*10^-3*1.5*10^3

momentum of baseball=mv= 4.5 kg-m/s

therefore v= 31.03 m/s

baseball's speed= 31.03 m/s

B. Which has greater kinetic energy, the ball or the bullet?

KE= p^2/(2m) where p is the momentum= 4.5 kg-m/s for both bullet and the baseball

mass of bullet= 0.003 kg

Therefore KE= 3375 Joules

mass of bullet= 0.145 kg

Therefore KE= 69.83 Joules

Bullet has the greater KE as with the same momentum it has the smaller ...

#### Solution Summary

The momentum of kinetic energy impulses are analyzed. The relationship between impulse and momentum are analyzed.