A spaceship of speed $v_0$ travelling along $+ y$ axis suddenly shots out one fourth of its part with speed $2v_0$ along $+ x$ -axis. $xy$ axes are fixed with respect to ground. The velocity of the remaining part is
$\frac{2}{3}{v_0}$
$\frac{{\sqrt {20} }}{3}{v_0}$
$\frac{{\sqrt 5 }}{3}{v_0}$
$\frac{{\sqrt {13} }}{3}{v_0}$
From a stationary tank of mass $125000$ pound a small shell of mass $25$ pound is fired with a muzzle velocity of $1000\, ft/sec$. The tank recoils with a velocity of ............ $\mathrm{ft/sec}$
A particle of mass $m$ moving horizontally with $v_0$ strikes $a$ smooth wedge of mass $M$, as shown in figure. After collision, the ball starts moving up the inclined face of the wedge and rises to $a$ height $h$. When the particle has risen to $a$ height $h$ on the wedge, then choose the correct alternative $(s)$
In the figure shown, a particle is released from the position $A$ on a smooth track. When the particle reaches at $B$, then normal reaction on it by the track is .........
A space craft of mass $'M' $ and moving with velocity $ 'v' $ suddenly breaks in two pieces of same mass $m$. After the explosion one of the mass $ 'm'$ becomes stationary. What is the velocity of the other part of craft
A free body of mass $8\, kg$ is travelling at $2\, meter$ per second in a straight line. At a certain instant, the body splits into two equal parts due to internal explosion which releases $16 \,joules$ of energy. Neither part leaves the original line of motion finally