A 1.50 kg bucket containing 12.0 kg of water is hanging from a vertical ideal spring...

 

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A 1.50 kg bucket containing 12.0 kg of water is hanging from a vertical ideal spring of force constant 450 N/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. Part A When the bucket is half full, find the period of oscillation. Express your answer to three significant figures and include the appropriate units. T = Value Units Part B When the bucket is half full, find the rate at which the period is changing with respect to time Express your answer in seconds per second to three significant figures. ? dT dt Part C Is the period getting longer or shorter? shorter longer Part D What is the shortest period this system can have? Express your answer with the appropriate units. HA ? Value |Units Tmin = A 1.50 kg bucket containing 12.0 kg of water is hanging from a vertical ideal spring of force constant 450 N/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. Part A When the bucket is half full, find the period of oscillation. Express your answer to three significant figures and include the appropriate units. T = Value Units Part B When the bucket is half full, find the rate at which the period is changing with respect to time Express your answer in seconds per second to three significant figures. ? dT dt Part C Is the period getting longer or shorter? shorter longer Part D What is the shortest period this system can have? Express your answer with the appropriate units. HA ? Value |Units Tmin =

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