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 m. She sets the pendulum swinging, and her collaborators carefully count complete cycles of oscillation during s. What is the result?
SOLUTION :
For pendulum of length m ,
T = 2 π sqrt(m/g) where g is gravitational acceleration at the Pink Planet.
=> sqrt(m/g) = T/(2π)
=> m/g = T^2/4π^2
=> g = 4m π^2 / T^2 (ANSWER
The spaceship Intergalactica lands on the surface of the uninhabited Pink Planet, which orbits a rather...
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 1.44 m. She sets the pendulum swinging, and her collaborators carefully count 107 complete cycles of oscillation during 2.00 x 10 s. What...
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 1.38 m. She sets the pendulum swinging, and her collaborators carefully count 1.00 × 102 complete cycles of oscillation during 212 s. What...
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 1.13 m. She sets the pendulum swinging, and her collaborators carefully count 107 complete cycles of oscillation during 204 s. What is the...