Q. 1) A 1600 car travelling at 20 suddenly runs out of gas while approaching the valley that looks like an inverted hump. 10m at the left where the care runs out of gas and 15 m at the right where it is headed. What will be the car's speed as it coasts into the gas station on the other side of the valley?

2) The coefficient of the restitution of an object is defined as the ratio of its outgoing to incoming speed when the object collides with a rigid surface. For an object with a coefficient of 0.63, what fraction of the object's kinetic energy is lost during a single collision?

3) A 50 ball of clay travelling at speed hits and sticks to a 1.0 block sitting at rest on a frictionless surface. What is the speed of the block after the collision? What percentage of the ball's initial energy is "lost"?

4) A proton is travelling to the right at. It has a head-on perfectly elastic collision with a carbon atom. The mass of the carbon atom is 15 times the mass of the proton. What are the speeds of each after the collision?

What is the direction of proton after the collision? What is the direction of carbon atom after the collision?