(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

When four people with a combined mass of 325 kg sit down in a 2000-kg car, they find that their weight compresses the springs an additional 0.55 cm.

A) What is the effective force constant of the springs?

B) The four people get out of the car and bounce it up and down. What is the frequency of the car's vibration?

2. Relevant equations

ΔForce = -k(Δx)

frequency = (1/(2pi))*Sqrt(k/m)

3. The attempt at a solution

A)

ΔForce = -k(Δx)

k = (2325*9.81)/(0.0055m)

k = 4146955 N/m (Wrong answer apparently)

B)

frequency = (1/2pi)*sqrt(4146955/2000)

frequency = 7.247 Hz

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# Spring constant of a car on springs

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