A uniform ring rolls down an inclined plane without slipping. If it reaches the bottom of a speed of `2m//s`, then calculate the height of the inclined plane (use `g=10m//s^(2)`)

Explanation

To solve the problem of a uniform ring rolling down an inclined plane without slipping, we can use the principle of conservation of mechanical energy. Here’s a step-by-step solution:

### Step 1: Understand the Energy Conservation Principle
When the ring rolls down the inclined plane, its gravitational potential energy is converted into kinetic energy. The total mechanical energy at the top of the incline (potential energy) will equal the total mechanical energy at the bottom (kinetic energy).

### Step 2: Write the Expression for Potential Energy
The gravitational potential energy (PE) at height \( h \) is given by:
\[
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