A block is placed at the top of an inclined plane 5 m long. The plane makes an angle of `60^(@)` with the horizontal. If the coefficient of friction between the wood and the plane is `0.3`, find the time taken by the block of slide down the bottom of the plane.

Explanation

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

### Step 1: Identify the forces acting on the block
When the block is placed on the inclined plane, the forces acting on it are:
- The gravitational force \( mg \) acting downwards.
- The normal force \( N \) acting perpendicular to the surface of the incline.
- The frictional force \( F_f \) acting opposite to the direction of motion.

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