Question

State and explain the how of conservation of linear momentum

Answer 1

Hint: Linear momentum ‘p’ of a body or an object is defined as the product of an object of having mass ‘m’, and velocity ‘v’. It is a vector quantity. The unit of linear momentum is expressed in kgm/s.

Formula Used: ${m_1}{u_1} + {m_2}{u_2} = {m_1}{u_1} + {m_2}{u_2}$

Complete answer:
The law of conservation of linear momentum states that the total momentum before and after the collision remains the same, i.e. conserved, when no external forces are acting on the system of two colliding objects. The unit is expressed in kgm/s. The dimensional formula is given as $ML{T^{ - 1}}$.
Mathematically the law of conservation linear momentum is expressed as,
${m_1}{u_1} + {m_2}{u_2} = {m_1}{u_1} + {m_2}{u_2}$
Where ‘${m_1}$’ and ‘${m_2}$’ are the masses of the two objects or bodies which is moving in the opposite directions of each other with speed ‘${u_1}$’ and ‘${u_2}$’ respectively, collide with each other then the resultant velocities are expressed as ‘${u_1}$’ and ‘${u_2}$’.
The principle of the conservation of the linear momentum of a system is changed only when the external forces acting on it changes.
Hence, the principle of the conservation of the linear momentum states that when the net external force acting on the system of bodies is zero, then the resulting momentum of the system remains constant. The momentum of the system remains conserved and not that of the individual particles.

Note:
Momentum of a body is defined as the physical quantity which is a measure of the quantity of the motion of a moving body. The momentum of the body depends upon the mass and the velocity of the body.