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 1250 kg and is supported by four springs of force constant k.What is k for each spring?
A) 6580 N/m
B) 5480 N/m
C) 4440 N/m
D) 3630 N/m

Question

Quizplus · Accepted Answer

The period of oscillation of a spring-mass system is given by:

T = 2π√(m/k)

where T is the period, m is the mass, and k is the spring constant.

Rearranging the formula, we get:

k = (4π²m)/T²

Substituting given values, we have:

k = (4π² x 1250)/1.50²

k = 5479.5 N/m

which is closest to option B: 5480 N/m. Therefore, B is the best choice.

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