A 3-kg sphere dropped through air has a terminal speed of 25 m/s. (Assume that the drag

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A 3-kg sphere dropped through air has a terminal speed of 25 m/s. (Assume that the drag force is – bv.) Now suppose the sphere is attached to a spring of force constant k = 400 N/m and that it oscillates with an initial amplitude of 20 cm.

(a) What is the time constant τ?

(b) When will the amplitude be 10 cm?

(c) How much energy will have been lost when the amplitude is 10 cm?

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