PLEASE TRY HELPING ME WITH THIS ONE QUESTION
A mass on a spring oscillates with a frequency of 0.1 Hz. The mass is 10 kg. What is the spring constant of the spring?

Respuesta :

cairde

Answer:

3.94784176044N/m

Explanation:

The period of a spring is found using the formula T=2π[tex]\sqrt{\frac{m}{k} }[/tex], where m is the mass and k is the spring constant.

The period can also be found using the formula T=[tex]\frac{1}{f}[/tex], where f is the frequency.

T=T

∴2π[tex]\sqrt{\frac{m}{k} }[/tex]=[tex]\frac{1}{f}[/tex]

2π[tex]\sqrt{10/k}[/tex]=1/0.1

[tex]\sqrt{10/k}[/tex]=10/2π

10/k=1.59154943092²

10/2.53302959106=k

k=3.94784176044N/m

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