A small mass $m$ is launched from the top of a cliff with speed Vat an angle of $30^o$ above the horizontal. When the mass reaches the ground, its velocity is directed at $45^o$ below the horizontal. Which one of the following choices is the magnitude of the total impulse that was imparted to the mass during its flight ? Ignore air resistance
$\frac{1}{2}\left( {\sqrt 3 + 1} \right)\ mV$
$\sqrt {\frac{3}{2}} \left( {\frac{{\sqrt 2 + 1}}{2}} \right)\ mV$
$\frac{1}{2}\left( {\sqrt 3 - 1} \right)\ mV$
$\frac{1}{2}\left( {\sqrt {\frac{3}{2}} + 1} \right)\ mV$
A ball is thrown up at an angle with the horizontal. Then, the total change of momentum by the instant it returns to the ground is
A machine gun fires a bullet of mass $65\,g$ with a velocity of $1300 \,m / s$. The man holding it can exert a maximum force of $169 \,N$ on the gun. The number of bullets he can fire per second will be ............
The force $F$ acting on a particle of mass $m$ is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to $8\, s$ is .......... $N-s$
A particle is acted upon by a force whose component's variations with time are shown in diagrams. Then the magnitude of change in momentum of the particle in $0.1\,\,sec$ will be :-
An object of mass $'m'$ is being moved with a constant velocity under the action of an applied force of $2\, {N}$ along a frictionless surface with following surface profile.
The correct applied force vs distance graph will be: