A car with bad shocks bounces up and down with a period of 1.51 s after hitting a bump.The car has a mass of 1 600 kg and is supported by four springs of force constant k.What is k for each spring?
A)6.9E+3 N/m
B)1.7E+3 N/m
C)1.7E+3 N/m.
D)3.5E+3 N/m
E)8.2E+2 N/m

Question

Quizplus · Accepted Answer

The period of oscillation for a mass-spring system is given by:T = 2π√(m/k)where m is the mass and k is the spring constant.Solving for k, we get:k = m(4π²/T²)Plugging in the given values, we get:k = 1600 kg * (4π² s²/1.51 s²)k = 6.9 × 10³ N/m

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