If the spring constant is doubled , what value does the period have for a mass on a spring? a. the period would double by square sqrt (2) b. the period would be halved by sqrt (2) c. the period would increase by sqrt (2) d. the period would decrease by sqrt (2)

D. The period would decrease by sqrt (2)

Explanation:

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

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

So the correct answer is

D. The period would decrease by sqrt (2)

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.