Simple Pendulum: a Frictionless Pendulum Clock on the Surface of the Earth

question 9

Multiple Choice

Simple pendulum: A frictionless pendulum clock on the surface of the earth has a period of 1.00 s. On a distant planet, the length of the pendulum must be shortened slightly to have a period of 1.00 s. What is true about the acceleration due to gravity on the distant planet?

• A) The gravitational acceleration on the planet is slightly greater than g.
• B) The gravitational acceleration on the planet is slightly less than g.
• C) The gravitational acceleration on the planet is equal to g.
• D) We cannot tell because we do not know the mass of the pendulum.

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Definitions:

Excessive Sleepiness

A condition where an individual experiences significant and persistent drowsiness despite adequate or even prolonged night-time sleep.

Circadian Rhythms

Biological processes that follow an approximately 24-hour cycle, affecting sleep, behavior, and physiological processes in living organisms.

Melatonin

A hormone produced by the pineal gland that regulates sleep and wake cycles, often used as a supplement to treat sleep disorders.

Delayed Sleep Phase Type

A condition where an individual's sleep is delayed by two or more hours beyond the conventional bedtime, leading to difficulty in waking up at a desired time.