A circular racetrack of radius \(300\) m is banked at an angle of \(15^\circ.\) If the coefficient of friction between the wheels of a race-car and the road is \(0.2,\) what is the (a) optimum speed of the race-car to avoid wear and tear on its tyres, and (b) maximum permissible speed to avoid slipping?
1. | \(v_0=28.1\) m/s and \(v_{max}=38.1\) m/s |
2. | \(v_0=38.1\) m/s and \(v_{max}=28.1\) m/s |
3. | \(v_0=0\) m/s and \(v_{max}=28.1\) m/s |
4. | \(v_0=38.1\) m/s and \(v_{max}=100\) m/s |