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
$\frac{{mgl}}{{72}}$
$\frac{{mgl}}{{36}}$
$\frac{{mgl}}{{12}}$
$\frac{{mgl}}{{6}}$
Two identical steel cubes (masses $50\,g$, side $1\,cm$) collide head-on face to face with a space of $10\,cm/s$ each. Find the maximum compression of each. Young’s modulus for steel $Y = 2 \times 10^{11}\,Nm^{-2}$.
A body of mass $m= 10^{-2}$ $kg$ is moving in a medium and experiences a frictional force $F= -kv^2$. Its initial speed is $v_0= 10$ $ms^{-1}$. If, after $10\; s$, its energy is $\frac{1}{8}$ $mv_0^2$ the value of $k$ will be
Three particles $A,B$ and $C$ are thrown from the top of a tower with the same speed. $A$ is thrown up, $B$ is thrown down and $C$ is horizontally. They hit the ground with speeds $V_A, V_B$ and $V_C$ respectively, then
$300$ Joule of work is done in sliding up a $2 \,kg$ block on an inclined plane to a height of $10\, metres$. Taking value of acceleration due to gravity $‘g’ $ to be $10 \,m/s^2$, work done against friction is ........ $J$
A body of mass $10\, kg$ is released from a tower of height $20\,m$ and body acquires a velocity of $10\,ms^{-1}$ after falling through the distance $20\,m$ . The work done by the push of the air on the body is:- ................. $\mathrm{J}$ (Take $g = 10\, m/s^2$ )