Does the escape velocity of a body depend on the density of a planet?

Explanation

To determine whether the escape velocity of a body depends on the density of a planet, we can derive the formula for escape velocity and analyze the variables involved.

### Step-by-Step Solution:

1. **Understanding Escape Velocity**:
Escape velocity is the minimum velocity required for an object to break free from the gravitational attraction of a planet without any further propulsion.

2. **Work-Energy Principle**:
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