A small bar starts sliding down on inclined plane forming an angle $\theta $ with the horizontal. The friction coefficient depends on the distance $x$ covered as $\mu  = kx$ , where $k$ is a constant. Find the distance covered by the bar till it stops

A bullet of mass $25\,g$ moving with a velocity of $200\,m/s$ is stopped within $5\,cm$ of the target. The average resistance offered by the target is ............... $\mathrm{kN}$

A uniform chain has a mass $m$ and length $l$. It is held on a frictionless table with one-sixth of its length hanging over the edge. The work done in just pulling the hanging part back on the table is

A body of mass $1\, kg$ is under a force, which causes a displacement in it is given by $x = \frac{{{t^3}}}{3}$ (in $m$). Find the work done by the force in first second ............ $\mathrm{J}$

If the increase in the kinetic energy of a body is $22\%$, then the increase in the momentum will be ........... $\%$

Velocity-time graph for a body of mass $10\, kg$ is shown in figure. Work-done on the body in first two seconds of the motion is  ................ $\mathrm{J}$