Find the maximum possible mass of a greased needle floating on water surface.

Explanation

To find the maximum possible mass of a greased needle floating on the water surface, we can follow these steps:

### Step 1: Understand the Forces Acting on the Needle
When a needle is floating on the water surface, it experiences two main forces:
1. The downward gravitational force (weight) acting on the needle, which is given by \( mg \) where \( m \) is the mass of the needle and \( g \) is the acceleration due to gravity.
2. The upward force due to surface tension, which acts along the length of the needle.

### Step 2: Analyze the Surface Tension Force
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