A turn of radius `20 m` is banked for the vehicle of mass `200 kg` going at a speed of `10 m//s`. Find the direction and magnitude of frictional force (a) `5 m//s`
(b) `15 m//s`
Assume that friction is sufficient to prevent slipping. `(g=10 m//s^(2))`

Explanation

To solve the problem of finding the direction and magnitude of the frictional force acting on a vehicle of mass 200 kg going around a banked turn of radius 20 m at two different speeds (5 m/s and 15 m/s), we will follow these steps:

### Step 1: Determine the banking angle (θ) at the speed of 10 m/s

The banking angle can be calculated using the formula:
\[ \tan \theta = \frac{v^2}{rg} \]
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