The product of velocity and the mass of a particle is called as its linear momentum
.
![1742_conservation of linear momentum8.png](https://www.expertsmind.com/CMSImages/1742_conservation%20of%20linear%20momentum8.png)
The magnitude of linear momentum can be written as
P = mv
Or
Thus,
Here, K is the kinetic energy of the particle. In according to the Newton's second law,
![701_conservation of linear momentum2.png](https://www.expertsmind.com/../CMSImages/701_conservation of linear momentum2.png)
Thus,
In case the external force applied to a body be zero, we have
![1672_conservation of linear momentum4.png](https://www.expertsmind.com/../CMSImages/1672_conservation of linear momentum4.png)
Showing that in the absence of an external force, the linear momentum of a particle keeps constant. This is known as the law of conservation of linear momentum. The law may be extended to an object of particles or to the centre of mass of a system of particles. For example, for an object of particles it takes the form.
If net force on a system of bodies is zero, the vector addition of linear momentum of all the bodies keep conserved, or
If
Then,
The same is the case for the centre of mass of a system of particles i.e., if
![2476_conservation of linear momentum7.png](https://www.expertsmind.com/../CMSImages/2476_conservation of linear momentum7.png)
Thus, the law of conservation of linear momentum can be given to a single body, to a system of bodies or even to the centre of mass of the particles.
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