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A block with a mass of 3.00 kg is suspen...

A block with a mass of `3.00 kg` is suspended from an ideal spring having negligible mass and stretches the spring by `0.2 m`.
(a) What is the force constant of the spring?
(b) What is the period of oscillation of the block if it is pulled down and released ?

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
(a) In equilibrium,
`kl = mg` (l = extension in spring)
`:. k = (mg)/(1)` ...(i)
Substituting the proper values, we have
`k = ((3.00)(9.8))/(0.2)`
`= 147 N//m`
(b) From Eq. (i) `(m)/(k) = (l)/(g)`
`:. T = 2pisqrt((m)/(k)) = 2pisqrt((l)/(g))`
` = 2pisqrt((0.2)/(9.8)) = 0.897s`.
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