A block of mass $m$ slides along a floor while a force of magnitude $F$ is applied to it at an angle $\theta$ as shown in figure. The coefficient of kinetic friction is $\mu_{ K }$. Then, the block's acceleration $'a'$ is given by: ($g$ is acceleration due to gravity)
$-\frac{ F }{ m } \cos \theta-\mu_{ K }\left( g -\frac{ F }{ m } \sin \theta\right)$
$\frac{ F }{ m } \cos \theta-\mu_{ K }\left( g -\frac{ F }{ m } \sin \theta\right)$
$\frac{ F }{ m } \cos \theta-\mu_{ K }\left( g +\frac{ F }{ m } \sin \theta\right)$
$\frac{F}{m} \cos \theta+\mu_{K}\left(g-\frac{F}{m} \sin \theta\right)$
A block of mass $10\, kg$ starts sliding on a surface with an initial velocity of $9.8\, ms ^{-1}$. The coefficient of friction between the surface and bock is $0.5$. The distance covered by the block before coming to rest is: [use $g =9.8\, ms ^{-2}$ ].........$m$
A block of mass $10 \,kg$ is held at rest against a rough vertical wall $[\mu=0.5]$ under the action a force $F$ as shown in figure. The minimum value of $F$ required for it is ............ $N$ $\left(g=10 \,m / s ^2\right)$
Which one of the following statements is correct
When a body is moving on a surface, the force of friction is called
If ${\mu _s},\,{\mu _k}$ and ${\mu _r}$ are coefficients of static friction, sliding friction and rolling friction, then