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The principle of conservation of momentum states that the total momentum of a closed system remains constant. This means that in a system where there are no external forces acting, the total momentum before and after an interaction remains the same.
The equation "Mv=mv conservation of momentum" is derived from the principle of conservation of momentum. It is based on the fact that the total momentum of a system before and after an interaction must be equal. This equation represents the conservation of momentum in terms of mass and velocity.
In an elastic collision, the total kinetic energy and momentum of the system are conserved. This means that both "Mv" and "mv" will remain the same before and after the collision. In an inelastic collision, however, some of the kinetic energy is converted into other forms of energy, such as heat or sound, and the total kinetic energy of the system is not conserved. Therefore, in an inelastic collision, "Mv" and "mv" may not remain the same before and after the collision.
The law of conservation of momentum is applicable in various real-life scenarios, such as a ball bouncing off a wall or two objects colliding. It is also applied in sports, such as billiards or bowling, where the momentum of the objects involved must be conserved for the game to be played correctly.
One limitation of the "Mv=mv conservation of momentum" equation is that it only applies to closed systems where there are no external forces acting. In real-life scenarios, it is challenging to have a perfectly closed system, so the equation may not be entirely accurate. Additionally, the equation only applies to objects moving in a straight line, and it does not account for rotational motion or other factors such as friction.