What is the shortest period this system can have

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A 2.50kg bucket containing 11.5kg of water is hanging from a vertical ideal spring of force constant 120N/m and oscillating up and down with an amplitude of 3.00 cm. Suddenly the bucket springs a leak in the bottom such that water drops out at a steady rate of 2.00 g/s.

a) When the bucket is half full, find the period of oscillation.

b) When the bucket is half full, find the rate at which the period is changing with respect to time. (Is the period getting longer or shorter?)

c) What is the shortest period this system can have?

Reference no: EM13339546

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