After head on elastic collision between two balls of equal masses , one is observed to have a speed of $3\,\,m/s$ along positive $x-$ axis and the other has a speed of $2\,\,m/s$ along negative $x$ axis. The original velocities of the balls are
$-2\,\,m/s\,\,$ and $\,\,+3\,\,m/s$
$+2\,\,m/s\,\,$ and $\,\,+3\,\,m/s$
$-3\,\,m/s\,\,$ and $\,\,+2\,\,m/s$
$+3\,\,m/s\,\,$ and $\,\,-2\,\,m/s$
A small block of mass $m$ slides along a smooth frictional track as shown in the figure. If it starts from rest at $P$ , velocity of block at point $Q$ is
In the non-relativistic regime, if the momentum, is increased by $100\%$, the percentage increase in kinetic energy is
A block of mass $M$ is pulled a distance $x$ on horizontal table, the work done by weight is
A particle moves along the $x-$ axis from $x = 0$ to $x = 5\,m$ under the influence of a force $F$ (in $N$ ) given by $F = 3x^2 -2x + 7$ . Calculate the work done by this force .............. $\mathrm{J}$
A force of $\left( {2\widehat i + 3\widehat j + 4\widehat k} \right)\,N$ acts on a body for $4\, sec$ and produces a displacement of $\left( {3\widehat i + 4\widehat j + 5\widehat k} \right)\,m$. The power used is :- ............... $\mathrm{W}$