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–a physicist, naturally–immediately makes a determination of the acceleration due to gravity on the Pink Planet's surface by means of a simple pendulum of length 1.08 m. She sets the pendulum swinging, and her collaborators carefully count 105 complete cycles of oscillation during 219 s. What is the result?

Explanation / Answer

time period = time taken for one oscillation

T = t/N = 219/105 = 2.08 s

time period of a simple pendulum T = 2pi*sqrt(L/g)

2.08 = 2pi*sqrt(1.08/g)

g = 9.86 m/s^2 <<<<----answer

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