Question

A car of $800kg$ negotiates a banked curve of radius $160m$ on a smooth road. If the banking angle is ${60}^{\circ }$, find the normal force between the tyres and the road. $(g=10m/s^2)$

• A. $16000N$
• B. $8000\sqrt{3}N$
• C. $4000N$
• D. $4000\sqrt{3}N$

Answer 1

The correct option is A $16000N$


The vertical component of the normal force is balanced by $mg$
$Ncos{60}^{\circ }=mg$
$\frac{N}{2}=8000$
$N=16000N$