Question

You and a friend are on a swing set and her swing is slightly longer than yours. If you both start swinging at the same time, from the same height, where will she be after you have completed one complete swing back and forth?
(A) She will be slightly lower than you but moving downward away from you.
(B) She will be slightly lower than you but moving upward toward you.
(C) She will still be at the same height as you.
(D) She will be slightly higher than you.

Answer 1

Answer:

option A.

Explanation:

given,

Both swings are at the same height

Start swinging at the same time

The length of the string of your friend's string is longer than yours.

Using the formula of the time period

$T = \dfrac{1}{2\pi}\ \sqrt{\dfrac{L}{g}}$

The time period is directly proportional to Length.

If the length of the string is less time period will be less.

So, your time period is less than your friend's.

Hence, when you will complete your swing your friend will be slightly lower than you.

Hence, the correct answer is option A.