A football bobble-head figure sits on your car dashboard. The 83-g head of the figure is attached to a spring with a spring constant of k = 21 N/m. You are driving along a straight road when you notice a series of hoses lying across the road, perpendicular to your motion, that cannot be avoided, and you drive over them. If the hoses are spaced exactly 4.3 m apart, what speed should you avoid so your bobble-head figure does not sustain damage from its head vibrating too hard at maximum amplitude?
period= 2PI sqrt(m/k)
time between bumps=distancapart/velocity
velocity=4.3m/2PI * sqrt(K/m)
check that.