A shell of mass $m$ moving with velocity $ v$ suddenly breaks into $2$ pieces. The part having mass $m/4$ remains stationary. The velocity of the other shell will be

A nucleus is at rest in the laboratory frame of reference. Show that if it disintegrates into two smaller nuclei the products must move in opposite directions.

A cart loaded with sand moving with velocity $v$. Sand is falling through the hole as shown in diagram then after falling on the ground sand is

A gun fires a bullet of mass $50 \,gm$ with a velocity of $30\,m\,{\sec ^{ – 1}}$. Because of this the gun is pushed back with a velocity of $1\,m\,{\sec ^{ – 1}}$. The mass of the gun is ………. $kg$

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