A 1000 kg car carrying two 100 kg football players travels over a bumpy "washboard" road with the bumps spaced 3.0 m apart. The driver finds that the car bounces with a max amplitude when he drives at a speed of 5.0 m/s. The car then stops and picks up three more 100 kg passengers. By how much does the car body sag on its suspension when these three additional passengers get in?(adsbygoogle = window.adsbygoogle || []).push({});

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[tex] \lambda = 3.0 m [/tex]

[tex] f = v/ \lambda [/tex]

[tex] f = 1.67 Hz [/tex]

[tex] \omega = 2 \pi f = \sqrt{k/m} [/tex]

[tex] k = 132300 N/m [/tex]

[tex] \Delta L = mg/k [/tex]

[tex] \Delta L = 0.11 m [/tex]

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Answer is 2.23 cm

I think my basic problem here is I just don't know what I'm doing.

Thanks for taking the time to read :)

1. The problem statement, all variables and given/known data

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# Homework Help: Simple harmonic motion of a car

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