A car with bad shocks bounces up and down with a period of 1.50 s after hitting a bump.The car has a mass of 1 500 kg and is supported by four springs of force constant k.What is k for each spring?
A)6 580 N/m
B)5 850 N/m
C)4 440 N/m
D)3 630 N/m

Question

Quizplus · Accepted Answer

The period of oscillation T is related to the mass m and the spring constant k by the formula T = 2π√(m/4k). Solving for k gives k = (4π²m)/(T²). Substituting m = 1500 kg and T = 1.50 s, we find k ≈ 6,580 N/m.

A Car with Bad Shocks Bounces Up and Down with a Period