If ${\mu _s},\,{\mu _k}$ and ${\mu _r}$ are coefficients of static friction, sliding friction and rolling friction, then
${\mu _s} < {\mu _k} < {\mu _r}$
${\mu _k} < {\mu _r} < {\mu _s}$
${\mu _r} < {\mu _k} < {\mu _s}$
${\mu _r} = {\mu _k} = {\mu _s}$
Consider a car moving on a straight road with a speed of $100\, m/s$. The distance at which car can be stopped, is ........ $m$. $[\mu_k = 0.5]$
A block $B$ is pushed momentarily along a horizontal surface with an initial velocity $V.$ If $\mu $ is the coefficient of sliding friction between $B$ and the surface, block $B$ will come to rest after a time
Given below are two statements:
$Statement$ $(I)$ : The limiting force of static friction depends on the area of contact and independent of materials.
$Statement$ $(II)$ : The limiting force of kinetic friction is independent of the area of contact and depends on materials.
In the light of the above statements, choose the most appropriate answer from the options given below:
A block of mass $m$ is placed on a surface with a vertical cross section given by $y = \frac{{{x^3}}}{6}$ If the coefficient of friction is $0.5$,the maximum height above the ground at which the block can be placed without slipping is: