A 86.0 kg person steps into a car of mass 2500.0 kg, causing it to sink 3.0 cm. Assuming no damping, with what frequency will the car and passenger vibrate on the springs?
Here is what I do. I take the mass and set it equal to k*x to get k, then divide by 4. Then I add the 2 masses to get the total mass, and I divide this by 4 as well. I plug these numbers into T = 2*pi*sqtroot of m/k to find T. Finally, I do 1/T to get the frequency.
This is obviously wrong, so can someone please tell me where I'm messing up?
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