Question

mathematical representation of conservation of momentum​

Answer 1

Explanation:

Linear momentum is a product of the mass (m) of an object and the velocity (v) of the object. If an object has higher momentum, then it harder to stop it. The formula for linear momentum is p = mv. The total amount of momentum never changes, and this property is called conservation of momentum. Let us study more about Linear momentum and conservation of momentum.

Answer 2

Explanation:

We know that the linear momentum of the particle is

p = mv

Newton’s second law for a single particle is given by,

F = dPdt

where F is the force of the particle. For ‘ n ‘ no. of particles total linear  momentum is,

P = p1 + p2 +…..+pn

each of momentum is written as  m1 v1 + m2v2 + ………..+mnvn. We know that velocity of the centre of mass is V =  Σ  miviM,

mv =  Σ  mivi

So comparing these equations we get,

P = M V