A car with bad shock absorbers bounces up and down after hitting a bump. The car has a mass of 2500 kg and is supported by four springs, each having a spring constant of 6000 N/m. What is the period for each spring?
ktotal=k+k+k+k=4k=4⋅6000=24000 (N/m)k_{total}=k+k+k+k=4k=4\cdot6000=24000\ (N/m)ktotal=k+k+k+k=4k=4⋅6000=24000 (N/m)
T=2πm/k=2⋅3.14⋅2500/24000=2.03 (s)T=2\pi\sqrt{m/k}=2\cdot 3.14\cdot\sqrt{2500/24000}=2.03\ (s)T=2πm/k=2⋅3.14⋅2500/24000=2.03 (s) . Answer
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