A car of mass $2 \times 10 ^3 kg$ is to travel over a turn of radius $0.75 km$ and slope of angle $5^{\circ}$ If coefficient of friction between wheel and road is 0.5 maximum speed the car can travel with out slipping is $(\tan 5^{\circ}=0.087)$

Question

\[(a)\;9.8 m/s \quad (b)\;67 m/s \quad (c)\;0.75 m/s \quad(d)\;1 m/s \]