Explain the total linear momentum is conserved in an elastic collision and also explain the inelastic collision and completely elastic collision .

Explanation

In all collisions the total momentum is conserved that means the intial momentum of the system is equal to the final momentum of the system .
When two objects collide , the mutual impulsive forces acting over the collision time `Deltat` cause a change in their respective momenta ,
Change in intial momenta
Change in intial momentum ,
`Deltap vec(p_(1)) =vec(F_(12))Deltat`
where `vec(F_(12))` is the force exerted on the first particle by the second particle ,`vec(F_(21))` is the force exerte on the second particel by the first partile .
From Newton.s third law ,
`vec(F_(12)) = - vec(F_(21))`
` :. Deltavec(p_(1)) = - Deltavec(p_(2))`
` :. Deltavec(p_(1)) +Deltavec(p_(2)) = 0 `
Hnece , on a system change in intial momentum is equal to change in final momentum .
Elastic collision : Collision in which the total linear momentum and total kinetic energy is conserved then this collision is known as elastic collision .
It is true for conservative force .
Inelastic Collisions : Collision in which the total linear momentum is conserved but kinetic energy is not conserved then this collision is known as inelastic collision . this is for non conservative force .
Completely Inelastic Collision : A collision in which the two particles move toether after the collision is called a completely inelastic collision
Here in every collsion total energy and momnetum is conserved .