A spring gun is made by compressing a spring in a tube and then latching the spring at the compressed position. A 4.97-g pellet is placed against the compressed and latched spring. The spring latches at a compression of [01] cm, and it takes a force of 9.12 N to compress the spring to that point. Required:
a. If the gun is fired vertically, how fast (m/s) is the pellet moving when it loses contact with the spring?
b. To what maximum height (m) will the pellet rise? (as measured from the original latched position)