I need some practice with these problems in Physics. I'm taking some extra work so I can study so I'm using a few practice problems. Please show the work so I can study it!! Please include all the work states. The photos are where the questions are Refer to the photos below to answer, thanks!!

22. A thread connects a 1.5-kg cart and a 4.5-kg cart. After the thread is burned, a compressed spring pushes the carts apart, giving the 1.5-kg cart a velocity of 27 cm/s to the left. What is the velocity of the 4.5-kg cart? 23. CHALLENGE Carmen and Judi row their canoe alongside a dock. They stop the canoe, but they do not secure it. The canoe can still move freely. Carmen, who has a mass of 80.0 kg, then steps out of the canoe onto the dock. As she leaves the canoe, Carmen moves forward at a speed of 4.0 m/s, causing the canoe, with Judi still in it, to move also. At what speed and in what direction do the canoe and Judi move if their combined mass is 115 kg?17. Two freight cars, each with a mass of 3.0 x 10* kg, collide and stick together. One was initially moving at 2.2 m/s, and the other was at rest. What is their final speed? Define the system as the two cars. 18. A 0.105-kg hockey puck moving at 24 m/s is caught and held by a 75-kg goalie at rest. With what speed does the goalie slide on the ice after catching the puck? Define the puck and the goalie as a system. 19. A 35.0-g bullet strikes a 2.5-kg steel ball that is at rest. After the collision, the bullet bounces backward at 5.0 m/s. How fast is the ball moving when the bullet bounces backward? 20. CHALLENGE A 0.50-kg ball traveling at 6.0 m/s collides head-on with a 1.00-kg ball moving in the opposite direction at 12.0 m/s. After colliding, the 0.50-kg ball bounces backward at 14 m/s. Find the other ball's speed and direction after the collision