The road at a circular turn of radius 10 m is banked by an angle of `10^0`. With what speed should a vehicle move on the turn so that the normal contact force is able to provide the necessary centripetal force?

Explanation

To solve the problem of determining the speed at which a vehicle should move on a banked circular turn, we can follow these steps:

### Step 1: Understand the forces acting on the vehicle
When a vehicle moves on a banked road, two forces act on it: the gravitational force (mg) acting downwards and the normal force (N) acting perpendicular to the surface of the road. The banking angle (θ) helps in providing the necessary centripetal force for circular motion.

### Step 2: Resolve the normal force into components
The normal force can be resolved into two components:
- The vertical component: \( N \cos \theta \) which balances the weight of the vehicle (mg).
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