Here's how it applies to your scenario:
* Before the collision: The moving object has momentum, while the stationary object has zero momentum.
* During the collision: Forces are exchanged between the objects, causing changes in their individual momenta. However, the momentum lost by the moving object is gained by the stationary object.
* After the collision: The combined momentum of the two objects is equal to the original momentum of the moving object. This means that the momentum is conserved – it's not lost, but transferred.
Here's a more mathematical explanation:
* Momentum (p) = mass (m) x velocity (v)
* Initial momentum (p1) = m1v1 + m2v2 (where m1 and v1 are the mass and velocity of the moving object, and m2 and v2 are the mass and velocity of the stationary object - which is 0).
* Final momentum (p2) = m1v1' + m2v2' (where v1' and v2' are the velocities of the objects after the collision).
* Conservation of momentum: p1 = p2
In essence, the law of conservation of linear momentum dictates that the total momentum of a system remains constant, even if there are internal changes in the distribution of momentum.
