A bug on the surface of a pond is observed to move up and down a total vetical distance of 0.10m, lowest to highest point, as a wave passes.

a) what is the amplitude of the wave?
[for this, I got 0.05 by dividing 0.10m by 2.]

b) If the ripples increase to 0.15m, by waht factor does the bug's maximum kinetic energy change?
[I don't know what it is asking exactly, is there a formula for this? The answer is 2.3 though]

2 answers

Energy is proportional to amplitude squared.

KEafter/KEbefore = (.075/.5)^2
0.10/2=0.05
0.15/2=0.075
(0.075/0.05)^2= 2.25