A 1.50 kg, horizontal, uniform tray is attached to a vertical ideal spring of force constant 185 N>m and a 275 g metal ball is in the tray. The spring is below the tray, so it can oscillate up and down. The tray is then pushed down to point A, which is 15.0 cm below the equilibrium point, and released from rest. (a) 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) How much time elapses between releasing the system at point A and the ball leaving the tray? (c) How fast is the ball moving just as it leaves the tray?

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A 1.50 kg, horizontal, uniform tray is attached to a vertical
ideal spring of force constant 185 N>m and a 275 g metal ball is in the
tray. The spring is below the tray, so it can oscillate up and down. The
tray is then pushed down to point A, which is 15.0 cm below the equilibrium
point, and released from rest. (a) 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) How much
time elapses between releasing the system at point A and the ball leaving
the tray? (c) How fast is the ball moving just as it leaves the tray?

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