Answer:
3.7 m/s^2
Explanation:
The period of a pendulum is given by:
where L is the length of the pendulum and g is the free-fall acceleration on the planet.
In this problem, we know that the period of the pendulum on Earth is:
while the period of the same pendulum on Mars is
And since the length of the pendulum L does not change, we can write:
where
is the free-fall acceleration on Earth
is the free-fall acceleration on Mars
Re-arranging the equation and substituting numbers, we find: