Question

A car with bad shock absorbers 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 equal force constant k. Determine the value of k.

Answer 1

Answer:

k =  26319 N/m

Explanation:

given,

Period of bounce = 1.5 s

mass of the car = 1500 kg

four springs                    

to find the value of k                              

$T = 2\pi \sqrt{\dfrac{m}{k}}$      

$1.5 = 2\pi \sqrt{\dfrac{1500}{k}}$

$\dfrac{2.25}{4\pi^2}=\dfrac{1500}{k}$      

$k = \dfrac{4\pi^2 \times 1500}{2.25}$      

k =  26319 N/m            

Now the value of force constant is k =  26319 N/m