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Explanation:
The linear momentum of a body is defined as the product of its mass and velocity and is give by: p⃗ = mv⃗
If F is the net force acting on the object then,
∑F⃗ = ma⃗ = m dv⃗ /dt = dp⃗ /dt
Or, the rate of change of the linear momentum is equal to the amount of force acting on the body.
Let us suppose that p is the total linear momentum of a system of particles which is given as the vector sum of the momenta of the individual particles.Then,
p⃗ = ∑ni pi→
or, it can be rewritten as:
p⃗ = ∑nimivi→ = Mvcom
Hence,
We can say that the total linear momentum of a system of particles is equal to the product of mass of the whole system and the velocity of the centre of mass.
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