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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?
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Illustrates the difference between acceleration and velocity
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A disk, initially rotating at 106 rad/s, is slowed down with a constant angular acceleration of magnitude 2.24 rad/s2. How much time does the disk take to stop
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A 15m long rope of m=1.8kg is stretched such that the tension in the rope is 25N. calculate the displacement of a particle in the rope at t=10s, when the wave is at x=0.5m
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