Question

A car of mass 1000kg moves on a circular track of radius 20m. If the coefficient of friction is 0.64, then the maximum velocity with which the car move is:

• A. 22.4 m/s
• B. 5.6 m/s
• C. 11.2 m/s
• D. 6.5 m/s

Answer 1

The correct option is C 11.2 m/s

Mass of car = 100kg
Radius of track = 20m
Friction force provide the necessary centripetal force
$f_r=f_c$
$\mu mg=\frac{m{v}^2}{r}$
$v=\sqrt{\mu rg}$
$v=\sqrt{0.64\times 20\times 10}=11.28m/s$