Suppose that a car is 900 kg and has a suspension system that has a force constant

Question:

Suppose that a car is 900 kg and has a suspension system that has a force constant k = 6.53 x 104 N/m. The car hits a bump and bounces with an amplitude of 0.100 m. What is its maximum vertical velocity if you assume no damping occurs?

Strategy

We can use the expression for vmax  given in Umax || -X m  

to determine the maximum vertical velocity. The variables m and k are given in the problem statement, and the maximum displacement X is 0.100 m.

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