A horizontal spring is oscillating with a mass sliding on a perfectly frictionless surface. If the amplitude of the oscillation is and the mass has a value of and a velocity at the rest length of , determine the spring constant.

A block is sliding on a horizontal frictionless floor at a speed of and runs into a horizontal spring. The spring has a spring constant of . What is the maximum compression of the spring after the collision?

A spring of rest length is compressed to . A block of mass is placed on top. When the spring is released, the block flies to a maximum height of above the ground. Determine the spring constant.

A bungie jumper is attached to a bungie with a constant of . The unstretched length of the bungie is . If the bungie stretches a maximum of passed its unstretched length, what is the mass of the jumper?

In a baseball game, a baseball of mass 0.145 kg is thrown at towards the batter. The batter then hits the ball, and it flies over the pitcher's head at . What was the impulse of the ball?

A roller coaster car is at the top of the first hill, 100 m above the ground. It starts from rest and goes down the hill due to the force of gravity. What is the speed of the car at the bottom of the hill along the ground? (No energy is lost in this system.)

A block of mass is oscillating on a spring with spring constant . The block-spring system is on a level, frictionless desk. If the block passes through the equilibrium position with velocity , how far will the spring stretch (in meters)?

A golf ball is dropped from a height of , what is the velocity of the golf ball when it is halfway down its descent?

A spring of rest length is used to hold up a rocket from the bottom as it is prepared for the launch pad. The spring compresses to . Determine the potential energy of the spring.