Question

A heavy person and a light person swing to and fro on swings of the same length. Who has the longer period?

a) The heavy person
b) The light person
c) They both have the same period
d) The period depends on the swing's height

Answer 1

The heavy person has a longer period.

Step-by-step explanation:

The heavier person has a longer period.

According to the law of pendulum, the period of a swing depends on the length of the swing and the acceleration due to gravity. The period is given by the formula:

T = 2π√(L/g)

Where T is the period, L is the length of the swing, and g is the acceleration due to gravity.

Since the length of the swing is the same for both the heavy person and the light person, and the acceleration due to gravity is the same for all objects near the Earth's surface, the only factor that affects the period is the length of the swing. Therefore, the heavy person has a longer period than the light person.