The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet

Question

The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a rather average star in the distant Garbanzo Galaxy. A scouting party sets out to explore. The party's leader%u2013a physicist, naturally%u2013immediately makes a determination of the acceleration due to gravity on the Pink Planet's surface by means of a simple pendulum of length 1.42 m. She sets the pendulum swinging, and her collaborators carefully count 108 complete cycles of oscillation during 204 s. What is the result?

Explanation / Answer

Time period = 2 X pi X SQRT (L/g)

Time period = 204/108 = 1.89 sec = T

So, g = 4 X pi X pi X L / (T X T) = 4 X pi X pi X 1.42 / (1.89 X 1.89) = 15.70 metre/sec62

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.