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The formula for the period of the pendulum is
where L is the pendulum's length and g the gravitational acceleration.
Labeling with E the Earth and with M Mars, we can write the period of the pendulum on Earth as
and the period of the pendulum on Mars as
if we calculate the ratio, we get
but we know that the gravitational acceleration on Mars is 0.37 times the gravitational acceleration on Earth:
Substituting into the formula, we find
And so, the period of the pendulum on Mars is
where L is the pendulum's length and g the gravitational acceleration.
Labeling with E the Earth and with M Mars, we can write the period of the pendulum on Earth as
and the period of the pendulum on Mars as
if we calculate the ratio, we get
but we know that the gravitational acceleration on Mars is 0.37 times the gravitational acceleration on Earth:
Substituting into the formula, we find
And so, the period of the pendulum on Mars is