# Numerical Problems Based on Class 11 Physics Conservation of Linear Momentum

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Law of conservation of linear momentum

The second and third laws of motion lead to one of the most important and fundamental principles of physics, called the law of conservation of linear momentum.

It can be stated as follows:

When no external force acts on a system of several interacting particles, the total linear momentum of the system is conserved. The total linear momentum is the vector sum of the linear momenta of all the particles of the system.

### Numerical Problems Based on Class 11 Physics Conservation of Linear Momentum

Q.1. A 40 kg shell is flying at a speed of 72 kmh-1. It explodes into two pieces. One of the two pieces of mass 15 kg stops. Calculate the speed of the other.

Q.2. A bullet of mass 7 g is fired into a block of metal weighing 7 kg. The block is free to move. After the impact, the velocity of the bullet and the block is 70cms-1. What is the initial velocity of the bullet?

Q.3. A man weighing 60 kg runs along the rails with a velocity of 18 kmh-1 and jumps into a car of mass 1 quintal standing on the rails. Calculate the velocity with which the car will start travelling along the rails.