Statement-1: Linear momentum of a system of particles with...

Statement-1: Linear momentum of a system of particles with respect to centre of mass must be zero. Statement-2: Linear momentum of a system of particles is the vector-sum of linear momenta of
all particles of the system.

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Key Concepts

Vector Summation of Momenta

The vector summation of momenta refers to the process of adding the individual momentum vectors of all particles in a system to obtain the total momentum. This concept highlights that momentum is a vector quantity, meaning both the magnitude and direction of each particle's momentum must be considered when determining the system's overall momentum.

Centre of Mass

The centre of mass of a system of particles is the weighted average of the positions of all particles, where the weights are their respective masses. It acts as the effective point where the total mass of the system can be considered to be concentrated, and in a centre of mass reference frame, the net momentum relative to this point is zero.

Linear Momentum

Linear momentum is a fundamental vector quantity in mechanics, defined as the product of an object's mass and its velocity. In the context of a system of particles, the total linear momentum is a measure of the overall motion of the system and is conserved in the absence of external forces.

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