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I know I need to find the period (T), which is 2πsqrt(m/k).

T=2πsqrt[(.0kg)/(95nN/m)]=.353 s

Also, there are 20 cycles, so the final time would be (20 cycles)(.353s)=7.062s

The formula for damping (Adamped?) is x(t)=x

_{m}e

^{-bt/2m}cos(wt+rho)

The formula for oscillation (Ainital?) is x(t)=x

_{m}cos(wt+rho)

I'm pretty sure I need to use these two equations, and put the answers in a ratio, but I'm not sure how to go about doing that.