A small 3.0-kg object dropped from the roof of a tall building acquires a terminal speed of 25 m/s . Assume the drag force exerted on the object has the same form as the damping force exerted on a damped oscillator; that is, the force is opposed to the motion, and its magnitude is linearly proportional to the objects speed. An object identical to the dropped one is attached to a vertical spring (k = 290 N/m ) and set into oscillation in the air with an initial amplitude of 0.30 m .

Part A

What is the quality factor for this oscillation?

Q =

Part B

How long does it take for the amplitude to drop to half its initial value?

t1/2 =

Part C

How much energy is lost in this time interval?

ΔE =  J