One end of a nylon rope of length 4.5 m and diameter 6 mmis fixed to a tree limb. A monkey weighing 100 N jumps to catch the free end and stays there. Find the elongation of the rope and the corresponding change in the diameter. Young modulus of nylon =0.2.

Explanation

To solve the problem of finding the elongation of the nylon rope and the corresponding change in its diameter when a monkey weighing 100 N jumps and catches the free end, we will follow these steps:

### Step 1: Calculate the Cross-Sectional Area of the Rope
The diameter of the rope is given as 6 mm. First, we need to convert this to meters:
\[ \text{Diameter} = 6 \text{ mm} = 0.006 \text{ m} \]
The radius \( r \) is half of the diameter:
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