Question

A compact car has a mass of 1300 kg . When empty, the car bounces up and down on its springs 1.5 times per second. What is the car's oscillation frequency while carrying four 78 kg passengers?

Answer 1

Answer:

0.76 oscillations per second

Explanation:

Time period = $2\pi \sqrt{m/k}$ where k is the spring constant and m is the mass attached to the spring.

Calculating the spring constant:

1/1.5=$2\pi\sqrt{1300/k}$;

k=3.68*10^4

When the car is loaded, its mass increases to 1300+ 4*78 = 1612

Calculating the new time period:

T=$2\pi \sqrt{1612/36800}$=1.1315s

Frequency=1/T;