Question

If the spring constant is doubled , what value does the period have for a mass on a spring?

Answer 1

Answer:

D. The period would decrease by sqrt (2)

Explanation:

The period of a mass-spring system is given by:

$T=2\pi \sqrt{\frac{m}{k}}$

where

m is the mass

k is the spring constant of the spring

If the spring constant is doubled,

k' = 2k

So the new period will be

$T'=2\pi \sqrt{\frac{m}{(2k)}}=\frac{1}{\sqrt{2}}(2\pi \sqrt{\frac{m}{k}})=\frac{T}{\sqrt{2}}$

So the correct answer is

D. The period would decrease by sqrt (2)

Answer 2

Answer:

B) the period would be halved by sqrt (2) THIS IS THE RIGHT ANSWER FOR PLATO USERS

Explanation: