1. Question 1
Old cannons were built on wheeled carts, both to facilitate moving the cannon and to allow the cannon to recoil when fired. When a 150 kg cannon and cart recoils at 1.5 m/s, at what velocity would a 10 kg cannonball leave the cannon? Both cannonball and cannon start at rest.

2. Question 2
On an icy road, a 5000 kg truck rear-ends a 1200 kg car that had been traveling at 13 m/s, causing the truck to slow from 14 m/s to 12 m/s and the car to speed up. How fast was the car moving after the collision?

3. Question 3
A cart of mass 3.0 kg, moving at 2 m/s to the right, strikes head-on a cart of mass 1.0 kg that is moving at 2 m/s to the left. The carts stick together after the impact. What is the magnitude (amount) and direction of the velocity of the combined mega car after the collision?

4. Question 4
One way of measuring the muzzle velocity of a bullet is to fire it horizontally into a massive block of wood placed on a cart. Assuming no friction, we can then measure the velocity of the wood, bullet, and cart as they begin to move. In one experiment, the bullet had a mass of 0.05 kg and the wood and its cart had a mass of 20 kg. After the shot, the cart + wood + bullet moved at a constant speed traveling 8 m in 4 s. Determine the original speed of the bullet.

5. Question 5
A raft of mass 180 kg carries two swimmers of mass 50 kg and 80 kg. The raft is initially floating at rest. The two swimmer simultaneously dive off opposite ends of the raft, each with a horizontal velocity of 3 m/s. Determine the final velocity and direction of the raft.