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## Answers

let A and B be any objects

initial velocity of A =u1

initial velocity of B = u2

let mass of A be m1

let mass of B e m2

let both the objects collide after some time and collision lasts for t seconds

let the velocity of A after collision =v1

let the velocity of B after collision =v2

momentum =mass *velocity

momentum of A before collision =m1*u1

momentum of B before collision = m2*u2

momentum of A after collision = m1*v1

momentum of B after collision = m2*v2

now we know the rate of change of momentum =mass *rate of change in velocity =mass*change in velocity /time

rate of change of momentum of A during collision ,FAB =m1(v1-u1)/t

rate of change of momentum of B during collision, FBA =m2 (v2-u2)/t

FAB= -FBA

m1(v1-u1)/t = -m2 (v2 -u2)/t

m1(v1-u1) = -m2(v2-u2)

m1v1-m1u1 = -m2v2+m2u2

m1v1+m2v2 = m1u1+m2u2

m1u1+m2u2 = m1v1+m2v2

*law of conservation of momentum states that if two or more bodies collides there total momentum after collision is always equal to the total momentum before collision unless an unbalanced force does not acts on them.*