A car is moving on a horizontal circular road of radius 0.1 km with constant speed. If coefficient of friction between tyres of car and road is 0.4, then speed of car may be (g=10 m / s 2)

Question

A car is moving on a horizontal circular road of radius 0.1 km with constant speed. If coefficient of friction between tyres of car and road is 0.4, then speed of car may be (g=10 m / s 2) (A) 5 m / s (B) 10 m / s (C) 20 m / s (D) All of these

Tardigrade Admin · Accepted Answer

Maximum speed for the circular road (v text maximum 2/r) =μ g V text maximum =√μ r g =√0.4 × 100 × 10 =√400=20 m / s

Q. A car is moving on a horizontal circular road of radius $0.1 km$ with constant speed. If coefficient of friction between tyres of car and road is $0.4$ , then speed of car may be $(g = 10 m / s^{2})$

5 m / s

10 m / s

20 m / s

All of these

Maximum speed for the circular road
$\frac{v _{maximum}^{2}}{r} = μg$
$V_{maximum} = μ r g$
$= 0.4 \times 100 \times 10$
$= 400 = 20 m / s$

Q. A car is moving on a horizontal circular road of radius 0.1km with constant speed. If coefficient of friction between tyres of car and road is 0.4, then speed of car may be (g=10m/s2)