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A spring with force constant k = 175 N/m is attached to the ground. On top...

A spring with force constant k = 175 N/m is attached to the ground. On top of the spring a 1.30 kg metal pan is attached. The combination could be used as a scale, but we are going to do something more interesting. We place a metal ball with mass 0.250 kg on the tray and then the tray is pushed down 0.150 m below its equilibrium point and released from rest (take this as t = 0).

a) At what time does the ball lose contact with the metal pan? Carefully consider direction and remember that ω is in rad/s.

b) How high above the equilibrium point is the pan at this time?

c) How fast is the ball moving at the time it loses contact with the pan?

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