With what minimum acceleration can a fireman slide down a rope whose breaking strength is `(2//3)` of his weight?

Explanation

To solve the problem of determining the minimum acceleration with which a fireman can slide down a rope without breaking it, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Forces Involved**:
- The fireman has a weight \( W = mg \), where \( m \) is the mass of the fireman and \( g \) is the acceleration due to gravity.
- The rope has a breaking strength that is \( \frac{2}{3} \) of the fireman's weight, which can be expressed as:
\[
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