A sphere of mass $m$ is set in motion with initial velocity $v_o$ on a surface on which $kx^n$ is the frictional force with $k$ and $n$ as the constants and $x$ as the distance from the point of start. Find the distance in which sphere will stop
${\left[ {\frac{{m{v^2}_0(n\, + \,1)}}{{2k}}} \right]^{1/(n + 1)}}$
${\left[ {\frac{{m{v^2}_0}}{{2k}}} \right]^{1/(n - 1)}}$
${\left[ {\frac{{2m{v^2}_0}}{{k}}} \right]^{1/(n - 1)}}$
${\left[ {\frac{{m{v^2}_0}}{{2k(n - 1)}}} \right]^{1/(n - 1)}}$
Which one of the following statements is correct
A block $A$ of mass $m_1$ rests on a horizontal table. A light string connected to it passes over a frictionless pully at the edge of table and from its other end another block $B$ of mass $m_2$ is suspended. The coefficient of kinetic friction between the block and the table is $\mu _k.$ When the block $A$ is sliding on the table, the tension in the string is
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 of mass $4\, kg$ rests on an inclined plane. The inclination of the plane is gradually increased. it is found that when the inclination is $3$ in $5\left( {\sin \theta = \frac{3}{5}} \right)$, the block just begins to slide down the plane. The coefficient of friction between the block and the plane is
A car accelerates on a horizontal road due to force exerted by