1. How could the moons gravitational acceleration be measured and using which equation ? 2. Say...

1. How could the moons gravitational acceleration be measured and using which equation ?

2. Say the mass of a pendulum is 2.2 kg and the length is 0.50m. Jack conducts an experiment and measures a period of 1.50s what would be the value of g for the moon

3. Jacks teacher is unsure of his results so he makes jack repeat the experiment a few more times with differing oscillation amplitudes each time ? Would this be correct ?

Solutions

Expert Solution

1. Answer: Moons gravitational acceleration can be measured by equation of motion of a simple pendulum.

The time period of a simple pendulum is given by

where T= time period of the pendulum . L is the length of the pendulum and g is the acceleration due to gravity of the Moon.

if we know the time period and the length of the pendulum then we can easily find out the acceleration due to gravity of moon from above equation.

2. Answer:

given time period = T= 1.50 s , L= length = 0.50 m

so acceleration due to gravity of moon is 8.78 m/s^2

3. Answer:

The equation used to calculate time period or the acceleration due to gravity i.e.

is valid only when the angular displacement of the pendulum is less than 4 degree.

so to get the accurate result Jack must repeat the experiment with smaller angular amplitude ( less than 4 degree).

Thank You.

genius_generous answered 2 years ago

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