Question

determine period and frequency of a car whose mass is 1400 kg whose shock absorbers have have a spring constant of 6.5×10^4 after hitting the bump assuming the shock absorbers are poor so the car oscillates up and down.

Answer 1

To determine the period and frequency of the car's oscillations, we can use the equations for a simple harmonic oscillator. The period (T) can be found using T = 2π√(m/k) and the frequency (f) is the inverse of the period.

Step-by-step explanation:

To determine the period and frequency of the car's oscillations, we can use the equations for a simple harmonic oscillator. The period (T) of the oscillations can be found using the equation:

T = 2π√(m/k)

where m is the mass of the car (1400 kg) and k is the spring constant of the shock absorbers (6.5×10^4 N/m). Plugging in these values, we get:

T = 2π√(1400/6.5×10^4)

Simplifying this expression gives us the period of the car's oscillations. The frequency (f) of the oscillations is the inverse of the period:

f = 1/T

Substituting the value of T we found earlier, we can calculate the frequency of the car's oscillations.