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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.

Respuesta :

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                              

[tex]T = 2\pi \sqrt{\dfrac{m}{k}}[/tex]      

[tex]1.5 = 2\pi \sqrt{\dfrac{1500}{k}}[/tex]

[tex]\dfrac{2.25}{4\pi^2}=\dfrac{1500}{k}[/tex]      

[tex]k = \dfrac{4\pi^2 \times 1500}{2.25}[/tex]      

k =  26319 N/m            

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

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