Law of conservation of momentum

The law of conservation of linear momentum is a very important result combining Newton's third motion rule and the second motion rule.

When two or more objects interact, if there is no external force their total momentum does not change.

When this law is applied to collision between two objects, the total momentum of the collision object before collision is equal to the total momentum after collision.

This method can also be applied to collision of two cars. This method applies to all kinds of conflicts.

Two particles, A and B of mass m 1 and m 2 collide, and the forces acting on these particles are only forces acting on each other.

Let u1 and v1 be the initial velocity and final velocity of particle A. Likewise, let u2 and v2 be particles B. Touch the two particles at time t. Therefore, momentum change A = m 1 (v 1 - u 1) when momentum change B = m 2 (v 2 - u 2)

During the collision let A add an average force equal to B's FBA and let B add the average FAB of A. From the third law of motion FBA = - FAB (4)

Now, \ ({m_1} {v_1} + {m_2} {v_ 2} \) represents the total momentum of particles A and B before collision Means after collision Total momentum of the particle. this is

Equation 5 ({m_1} {u _ 1} + {m _ 2} {u _ 2} = {m _ 1} {v _ 1} + {m _ 2} {v _ 2} \) is called the momentum conservation law

Thus it can be said that the total momentum of an object is kept constant over time or the total momentum of the two particles does not change due to the interaction of the two particles only by the interaction of the two particles I will. .

For the force between the two particles, the sum of the momentum before and after the force should be equal. In other words, total momentum remains the same.

The law of conservation of linear momentum is one of the most fundamental and most important principles of dynamics.

Again, if two or any number of particles of interactive particles are isolated from external influences (or there are no external forces acting on the particles) their total momentum is constant.

Like Newton's law, conservation of momentum is a fundamental principle of physics, an essential part of everyday life. However, unlike Newton's law, conservation of momentum seems to be completely intuitive. When the ball is thrown into the air, it seems that air is lost with some momentum. By doing this, we can prove the conservation of momentum in real environments where caution is necessary and difficult. To measure the momentum conservation in the laboratory, two carts are used along a frictionless orbit. Because the vector moves only along one axis, this makes calculation easier. Therefore, the positive direction can be moved to the right and the negative direction can be moved to the left. The cart has a spring pop plunger that converts its position energy into the kinetic energy of the cart. It hits another car and its power is transferred partly or completely. These speeds of two carts are measured by the drawing device.

Momentum conservation is a law hidden by Newton's law. In other words, the momentum conservation law can derive (prove) the undeniable result of three Newtonian motion rules. Momentum conservation has been proved to be more fundamental than Newton's own motion law. I will discuss power with this proof, but you do not have to deal with the power when using the law of conservation of momentum. The theorem of preserving the momentum theorem is more fundamental than the third law on which it is based. From the perspective of the 20th century, conservation of momentum is directly related to the identity of the space from one point to another. Even in circumstances where it is difficult to treat power strictly as Newton, it can be a legitimate statement. History usually determines the first order of life of a proposition, but it does not place them in the order of the ultimate importance.