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 1.25 m. She sets the pendulum swinging, and her collaborators carefully count 104 complete cycles of oscillation during 207 s. What is the result?

Explanation / Answer

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

time taken for one oscillation = T = t/N

t = 207 s

N = 104

L = length of the pendulum

(207/104) = 2*pi*sqrt(1.25/g)

g = 12.46 m/s^2

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