Law of Conservation of Linear Momentum

In an explosion, a body breaks up into two pieces of unequal masses. In this

An object at rest in space suddenly explodes into three parts of same mass. The momentum of the two parts are $2p\hat{\mathrm{i}}$ and $p\hat{\mathrm{j}}$. The momentum of the third part:

A bag of sand of mass $m$ is suspended by a rope. A bullet of mass $\frac{m}{20}$ is fired at it with a velocity $v$ and gets embedded into it. The velocity of the bag finally is

A rifleman, who together with his rifle has a mass of $100 \mathrm{kg}$ stands on a smooth surface and fires $10$ shots horizontally. Each bullet has a mass $10 \mathrm{g}$ and a muzzle velocity of $800 \mathrm{m} {\mathrm{s}}^{-1}$. The velocity which the rifleman attains after firing $10$ shots is

A $50 \mathrm{kg}$ ice skater, initially at rest, throws a $0.15 \mathrm{kg}$ snowball with a speed of $35 \mathrm{m} {\mathrm{s}}^{-1}$. What is the approximate recoil speed of the skater?

In a rocket of mass $1000 \mathrm{kg}$ fuel is consumed at a rate of $40 \mathrm{kg} {\mathrm{s}}^{-1}$. The velocity of the gases ejected from the rocket is $5\times {10}^4 \mathrm{m} {\mathrm{s}}^{-1}$. The thrust on the rocket is

A rocket with a lift-off mass $3.5\times {10}^4 \mathrm{kg}$ is blasted upwards with an initial acceleration of $10 \mathrm{m} {\mathrm{s}}^{-2}$. Then the initial thrust of the blast is

An explosion breaks a rock into the three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass $1 \mathrm{kg}$ moves with a speed of $12 \mathrm{m} {\mathrm{s}}^{-1}$ and the second part of mass $2 \mathrm{kg}$ moves with speed $8 \mathrm{m} {\mathrm{s}}^{-1}$. If the third part flies off with speed $4 \mathrm{m} {\mathrm{s}}^{-1}$, then its mass is

A rocket is propelled by a gas which is initially at a temperature of $4000 \mathrm{K}$. The temperature of the gas falls to $1000 \mathrm{K}$ as it leaves the exhaust nozzle. The gas which will acquire the largest momentum while leaving the nozzle, is

A spacecraft of mass $100 \mathrm{kg}$ breaks into two when its velocity is ${10}^4 \mathrm{m} {\mathrm{s}}^{-1}$. After the break, a mass of $10 \mathrm{kg}$ of the space craft is left stationary. The velocity of the remaining part is

A bullet of mass $10 \mathrm{gram}$ is fired from a gun of mass $1 \mathrm{kg}$. If the recoil velocity is $5 \mathrm{m} {\mathrm{s}}^{-1}$, the velocity of muzzle is

Rocket works on the principle of

A body whose momentum is constant must have constant

A shell of mass $10 \mathrm{kg}$ is moving with a velocity of $10 \mathrm{m} {\mathrm{s}}^{-1}$ when it blasts and forms two parts of mass $9 \mathrm{kg}$ and $1 \mathrm{kg}$ respectively. If the $1\mathrm{st}$ mass is stationary, the velocity of the $2\mathrm{nd}$ is