A simple pendulum is released from $A$ as shown in figure. If $m$ and $l$ represent the mass of the bob and the length of the pendulum respectively, the gain in kinetic energy at $B$ is
$\frac{{mgl}}{2}$
$\frac{{mgl}}{\sqrt 2}$
$\frac{{\sqrt 3 }}{2}mgl$
$\frac{{2 }}{\sqrt 3}mgl$
Figure here shows the frictional force versus displacement for a particle in motion. The loss of kinetic energy in travelling over $s = 0$ to $20\, m$ will be......$J$
If a shell fired from a cannon, explodes in mid air, then
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
Two bodies moving towards each other collide and move away in opposite directions. There is some rise in temperature of bodies because a part of the kinetic energy is converted into
A toy car of mass $5 \,kg$ moves up a ramp under the influence of force $ F$ plotted against displacement $x$. The maximum height attained is given by