Question

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?

Answer 1

3.94784176044N/m

Step-by-step explanation:

The period of a spring is found using the formula T=2π
`\sqrt{(m)/(k) }`, where m is the mass and k is the spring constant.

The period can also be found using the formula T=
`(1)/(f)`, where f is the frequency.

T=T

∴2π
`\sqrt{(m)/(k) }`=
`(1)/(f)`

2π
`√(10/k)`=1/0.1

`√(10/k)`=10/2π

10/k=1.59154943092²

10/2.53302959106=k

k=3.94784176044N/m

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