Quiz 2 [25 mins]. If constants like ir or roots of natural numbers appear, leave them as such. No need to use a calculator (but you are free to do so). 1. A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. When the amplitude of the motion is 0.1 m, it takes the block 2,0 s to travel from x = 0.10 m to x = -0.10 m. If the amplitude is increased to 0.1 xv2 m, how much time does the block take to travel from x = 0.10 m to x = -0.10 m? 2. An unhappy rodent of massm = 0.1 kg, moving at the end of a spring with force constant k = 10 N/m, is acted on by a damping force Fx = -b vx. If b/Vmk = 1, find the time for the rodent to complete one full oscillation. (Useful formulae: cos SHM: X = A cos(wt + +); 6 2 b2 mk Damped SHM: X = A e 2m cos ( w't + $) with w' = k m 4m2 J 10 m