A cannon ball is fired with a velocity $200\, m/sec$ at an angle of $60° $ with the horizontal. At the highest point of its flight it explodes into $3$ equal fragments, one going vertically upwards with a velocity $100 \,m/sec$, the second one falling vertically downwards with a velocity $100\, m/sec$. The third fragment will be moving with a velocity

A bullet of $'4\,g'$ mass is fired from a gun of mass $4 \,{kg}$. If the bullet moves with the muzzle speed of $50\, {ms}^{-1}$, the impulse imparted to the gun and velocity of recoil of gun are :

One projectile moving with velocity $v$ in space, gets burst into $2$ parts of masses in the ratio $1 : 3$ . The smaller part becomes stationary. What is the velocity of the other part ?

$A$ parallel beam of particles of mass $m$ moving with velocity $v$ impinges on $a$ wall at an angle $\theta$ to its normal . The number of particles per unit volume in the beam is $n$ . If the collision of particles with the wall is elastic, then the pressure exerted by this beam on the wall is :

A bomb is projected with $200\,m/s$ at an angle $60^o$ with horizontal. At the highest point, it explodes into three particles of equal masses. One goes vertically upward with velocity $100\,m/sec,$ second particle goes vertically downward with the same velocity as the first. Then what is the velocity of the third one

Rocket engines lift a rocket from the earth surface because hot gas with high velocity