MUST ANSWER ALL

1) A freshman student (100 kg) wants to push a heavy cart of books towards his dorm room. What would his momentum be if he is traveling at 3 m/s North before pushing the cart? What is the momentum of the 50 kg cart if it is not moving? After the freshman collides into the cart, the momentum of the freshman plus the cart is 300kg North. How does this show conservation of momentum? What is the velocity of the freshman and the cart after the collision?

2) The freshman lets go of the cart and it is moving a towards another cart of 25 kg that is not moving. His cart is moving at 4 m/s to the East. What is the momentum of his cart? What is the momentum of the other cart? Assuming an elastic collision and no friction, what will happen to the two carts? Describe the velocity of both carts. How would this collision show the conservation of momentum?

3)The freshman and his friends thought the collision of the two cart was so cool, but they want to have a larger collision! What would increase the momentum of the cart he is pushing? What could he do to increase his impulse on the cart? Why would changing his impulse change the momentum on the cart?