A bridge over a canal is in the form of an arc of a circle of radius 20 m. Calculate the maximum speed at which a motor cycle can pass over the bridge without leaving the ground at the highest point ?.

Explanation

To solve the problem of finding the maximum speed at which a motorcycle can pass over a bridge in the form of an arc of a circle without leaving the ground at the highest point, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Forces at the Highest Point:**
At the highest point of the arc, the forces acting on the motorcycle are:
- The gravitational force (weight) acting downwards, which is \( mg \).
- The normal force \( N \) acting upwards.
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