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 simple pendulum length 1.42 m. She sets the pendulum swinging, and her collaborators carefully count 102 complete cycles of oscillation during 202 s. What is the result? Number m/s^2

Explanation / Answer

here,

time period on planet Pink , T = 202 /102 s = 1.98 s

l = 1.42 m

let the accelration due to gravity be g

time period ,T = 2 * pi * sqrt(l/g)

1.98 = 2 * pi * sqrt(1.42/g)

g = 14.3 m/s^2

the accelration due to gravity is 14.3 m/s^2

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