On a friction-free ice pond, a hockey puck is pressed against (but not attached to) a fixed ideal spring, compressing the spring by a distance x₀. The maximum energy stored in U₀, the spring is the maximum speed the puck gains after being released is u₀, and its maximum kinetic energy is K₀. Now the puck is pressed so it compresses the spring twice as far as before. In this case,

(a) What is the maximum potential energy stored in the spring (in terms of U₀), and

(b) What are the puck’s maximum kinetic energy and speed (in terms of K₀ and x₀)?