# physics

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The shock absorbers in the suspension system of a car are in such bad shape that they have no effect on the behavior of the springs attached to the axles. Each of the identical springs attached to the front axle supports 294 kg. A person pushes down on the middle of the front end of the car and notices that it vibrates through seven cycles in 3.1 s. Find the spring constant of either spring.

• physics -

period T = 3.1/7 = .443 s
f = 1/T = 2.26 Hz
w = 2 pi f = 14.2 radians/s

w = sqrt (k/m)
14.2 = sqrt (k/294)
k/294 = 201
k = 59200 N/m

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