A solid sphere is rolling down an inclined plane without slipping of height 20 m. Calculate the maximum velocity with which it will reach the bottom of the plane `(g = 10 m//s^(2))`

Explanation

To solve the problem of a solid sphere rolling down an inclined plane without slipping from a height of 20 m, we can use the principle of conservation of energy. Here's a step-by-step solution:

### Step 1: Understand the Energy Conservation Principle
At the top of the incline, the sphere has gravitational potential energy and no kinetic energy (since it starts from rest). As it rolls down, this potential energy is converted into kinetic energy (both translational and rotational).

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