You are doing some spring cleaning and decide to clean out your house. You want to make a new window in your wall with which to see nature come to life, so you tie a heavy mass to a short string and attach the string to a beam in your ceiling so it can swing freely like a pendulum. You lift the ball and let it go for practice, and it takes exactly 0.5 s to come right back to you. Ready for the real thing, you quadruple the length of the pendulum. Were it to swing freely also, it would take ____ to return to you after you let it go.
A) 4 s.
B) 1 s
C) 0.5 s.
D) 2 s.

Question

Quizplus · Accepted Answer

The period of a pendulum is proportional to the square root of its length. Quadrupling the length increases the period by a factor of √4 = 2. Thus, the new period is 0.5 s * 2 = 1 s.

You Are Doing Some Spring Cleaning and Decide to Clean