A 0.2 kg hockey puck is placed against a spring lying on a horizontal frictionless surface. The spring is compressed 0.2 m, with the hockey puck, and then released. The hockey puck when released is able to go up a frictionless slope with an angle of 30 degrees to a height of 0.5 m. What is the spring constant? At what height up the slope is the velocity of the block half the initial velocity as it leaves the spring?

Question

A 0.2 kg hockey puck is placed against a spring lying on a horizontal frictionless surface. The spring is compressed 0.2 m, with the hockey puck, and then released.  The hockey puck when released is able to go up a frictionless slope with an angle of 30 degrees to a height of 0.5 m. What is the spring constant? At what height up the slope is the velocity of the block half the initial velocity as it leaves the spring?