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lonelywizard
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Can someone help me to prove the law of conservation of momentum using an example?
The proof is one line:lonelywizard said:Can someone help me to prove the law of conservation of momentum using an example?
Conservation of momentum follows from Newton's first law. Since:QuantumCrash said:I don't actually thinks that actually proves it. That just defines force. Other than practical experiments, or actually showing it works in every situations, I can't really think WHY it must be so.
Andrew Mason said:Why is Newton's first law true? It may not be. But to prove something, youi have to start with a premise. The premise is that F = dp/dt, Newton's first law. So far, no one has been able to show that it is not true.
AM
The Law of Conservation of Momentum states that in a closed system, the total momentum before and after a collision remains constant. This means that the total combined mass and velocity of the objects involved in the collision will remain the same.
The Law of Conservation of Momentum can be proven through experimental evidence. By measuring the mass and velocity of objects before and after a collision, we can calculate the total momentum and see if it remains constant. If the total momentum is the same before and after the collision, the Law of Conservation of Momentum is proven to be true.
Yes, an example would be two billiard balls colliding on a frictionless surface. Before the collision, the total momentum of the two balls would be equal to the mass of ball 1 multiplied by its velocity, plus the mass of ball 2 multiplied by its velocity. After the collision, the total momentum should remain the same, even if the direction and speed of each ball may have changed.
In a collision, external forces such as friction or air resistance can affect the conservation of momentum. However, in a closed system where there are no external forces present, the conservation of momentum will still hold true.
The Law of Conservation of Momentum is closely related to Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. In a collision, the objects involved exert equal and opposite forces on each other, resulting in a transfer of momentum that follows the Law of Conservation of Momentum.