Final answer:
The length of a pendulum on the moon can be found using the formula for the period of a pendulum.
Step-by-step explanation:
The length of a pendulum on the moon can be found by using the formula for the period of a pendulum, which is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. On the moon, g is 1.6 N/kg. Let's solve for L:
T = 2π√(L/g)
1 hour = 2π√(L/1.6)
√(L/1.6) = 1 hour / 2π
L/1.6 = (1 hour / 2π)²
L/1.6 = 1 hour² / (2π)²
L = (1 hour² / (2π)²) * 1.6
Now, we can substitute the values to find the length of the pendulum on the moon:
L = (1 * 3600² / (2π)²) * 1.6
L ≈ 163.12 meters