Write statement and derive expression of law of conservation of Momentum.
Answers
Explanation:
The law of conservation of momentum states that for two objects colliding in an isolated system, the total momentum before and after the collision is equal.
Law of conservation of linear momentum is a extremely important consequence of Newton's third law of motion in combination with the second law of motion.
According to law of conservation of momentum.
When two or more bodies acts upon each other their total momentum remains constant provided no external forces are acting
So, Momentum is never created or destroyed.
When this law is applied for a collision between two bodies, the total momentum of the colliding bodies before collision is equal to the total momentum after collision.
We can apply this law for a collision between two vehicles. This law is applicable for all types of collisions.
Consider two particles say A and B of mass m1 and m2 collide with each other and forces acting on these particles are only the ones they exert on each other.
Let u1 and v1 be the initial and final velocities of particle A and similarly, u2 and v2for particle B. Let the two particles be in contact for a time t. So, Change in momentum of A=m1 (v1-u1) Change in momentum of B=m2 (v2-u2 )
Newton's third law states that for a force applied by an object A on object B, object B exerts back an equal force in magnitude, but opposite in direction. This idea was used by Newton to derive the law of conservation of momentum. ... B=m_{2}(v_{2}-u_{2}) (change in momentum of particle B)