A 1.00 kilogram, horizontal, uniform tray is attached to a vertical ideal spring of force constant 190 N/m and a 270 gram metal ball is in the tray. The spring is below the tray, therefore it can oscillate up-and-down. The tray is then pushed down 12.2 centimeter below its equilibrium point (call this point A) and released from rest.
A) Determine how high above point A will the tray be when the metal ball leaves the tray? (Hint: This does not occur when the ball and tray reach their maximum speeds.)
B) Find how much time elapses between releasing the system at point A and the ball leaving the tray?
C) Find how much time elapses between releasing the system at point A and the ball leaving the tray?