The maximum vertical distance through which an astronaut can jump on the earth is 0.5 m. Estimate the corresponding distance on the moon.

Explanation

To estimate the maximum vertical distance an astronaut can jump on the moon based on the given jump height on Earth, we can follow these steps:

### Step 1: Understand the relationship between potential energy and height
The potential energy (PE) of an object at a height \( h \) is given by the formula:
\[ PE = mgh \]
where \( m \) is the mass of the object, \( g \) is the acceleration due to gravity, and \( h \) is the height.
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