A rolling ball of mass m is travelling on a hill with speed vâ‚€ at a height h above a spring. The ball rolls down the hill until it hits the spring. The spring compresses until the ball is at rest.
Equilibrium position of spring
vâ‚€
Final position of spring
h
How far has the spring compressed, relative to its equilibrium position? [Note: You can use energy conservation for this one, and neglect non-conservative forces.]
Once you have solved this problem, think a little bit about the situation and how you calculated the amount of compression. Comment, based on your real world knowledge, on how realistic the assumption of energy conservation without NC forces is.