A block of mass `180 g` is suspended by a massless spring. The spring extends by `1.8 cm` due to the weight of block. A particle of mass `20 g` is dropped from a height `80 cm` on the block. The collision is completely inelastic . Find the maximum elongation of the spring.

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the spring constant (k)
Given:
- Mass of the block (m) = 180 g = 0.18 kg
- Extension of the spring (x) = 1.8 cm = 0.018 m
- Acceleration due to gravity (g) = 9.8 m/s²

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