4. A mechanical oscillator can be damped with a dashpot, which is a disk that moves through a uid to create the damping force by Viscous friction. You have a 1 kg mass on a 400 N/m spring with a dashpot that creates a 0.02 Ns/m drag force, as k shown below. If you start the oscillator with a 10 cm amplitude a) how long would it take for it to reach 1/2 the initial amplitude? b) how many cycles must it go through to deposit 1.6J of heat into the uid? m | b |