A man can jump `1.5m` on the Earth. Calculate the approximate height he might be able to jump on a planet whose density is one-quarter that of the Earth and whose radius is one-third that of the Earth.

Explanation

To solve the problem of how high a man can jump on a planet with a density of one-quarter that of Earth and a radius of one-third that of Earth, we can follow these steps:

### Step 1: Understand the relationship between jump height and gravitational acceleration
The maximum height a person can jump (H_max) is inversely proportional to the gravitational acceleration (g) on the surface of the planet. This means that if the gravitational acceleration is lower, the jump height will be higher.

### Step 2: Calculate the gravitational acceleration on Earth
The gravitational acceleration on the surface of the Earth (g) can be expressed as:
\[ g = \frac{G \cdot M}{R^2} \]
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