You Decide to Attend an Amusement Park Which Has a Ride

You decide to attend an amusement park which has a ride where you are strapped into a chair which is in turn firmly attached to a plastic cable. You are released and you bounce up and down as a harmonic oscillator-a mass on the end of spring. Next in line is somebody who weighs twice as much as you do. When the heavier person goes on the ride, you notice that

A) both of you will have the same period, regardless of how high you bounce.
B) the heavier rider will have a longer period than the lighter one.
C) the two riders will have the same period, as long as the heights of their bounces are the same.
D) the heavier rider will have a shorter period than the lighter one.