Question

The maximum speef of car on a curved path of radius r and coefficient friction is

Answer 1

let m= mass of the car.
v=speed of the car
r= radius of the path(given)
f= frictional force
n= reaction force
u=friction coefficient
therefore

$f = m {v }^{2} \div r$
& n= mg
the car will not slide only if
$f = un$
therefore
$m {v}^{2} \div r = umg \\ or) {v }^{2} = urg$
so.Vmax=square root of urg