A car is moving on a circular level road of the radius of curvature 300 m . If the coefficient of friction is 0.3 and acceleration due to gravity is 10 m s- 2 , the maximum speed the car can have is (in km h- 1 )

Question

A car is moving on a circular level road of the radius of curvature 300 m . If the coefficient of friction is 0.3 and acceleration due to gravity is 10 m s- 2 , the maximum speed the car can have is (in km h- 1 ) (A) 30kmh- 1 (B) 81kmh- 1 (C) 108kmh- 1 (D) 162kmh- 1

Tardigrade Admin · Accepted Answer

r=300m μ = 0 text. 3 textg=10 textm s- 2 textv textmax = √μ textrg fs≤ fs (. m a x .) (m v2/r)≤ μ mg v2≤ μ rg v≤ √μ r g vm a x=√μ r g = √(0 text. 3) (3 0 0) (1 0) =30 textm s- 1 =108kmh- 1

Q. A car is moving on a circular level road of the radius of curvature $300 m$ . If the coefficient of friction is $0.3$ and acceleration due to gravity is $10 m s^{- 2}$ , the maximum speed the car can have is (in $km$ $h^{- 1}$ )

$30 km h^{- 1}$

$81 km h^{- 1}$

$108 km h^{- 1}$

$162 km h^{- 1}$

$r = 300 m$
$μ = 0.3$
$g = 10 m s^{- 2}$
$v_{max} = μ rg$
$f_{s} \leq f_{s (ma x)}$
$\frac{m v ^{2}}{r} \leq μ m g$
$v^{2} \leq μ r g$
$v \leq μ r g$
$v_{ma x} = μ r g$

$= (0.3) (300) (10)$
$= 30 m s^{- 1}$
$= 108 km h^{- 1}$

Q. A car is moving on a circular level road of the radius of curvature 300m . If the coefficient of friction is 0.3 and acceleration due to gravity is 10ms−2 , the maximum speed the car can have is (in km h−1 )

30kmh−1

81kmh−1

108kmh−1

162kmh−1