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Mechanics · Momentum

Chapter 1 · 3

The idea

Conservation of linear momentum

The principle that the total momentum of a system is unchanged by a direct collision — how to set it up with a consistent positive direction, the special case where the bodies coalesce (stick together) and move with a common velocity, and how to read the sign of the answer as a direction.

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Mechanics · Momentum

Conservation of linear momentum

The principle that the total momentum of a system is unchanged by a direct collision — how to set it up with a consistent positive direction, the special case where the bodies coalesce (stick together) and move with a common velocity, and how to read the sign of the answer as a direction.

Why it works

Equal, opposite, and for the same time

When two bodies collide directly (moving along the same straight line, hitting head-on or one catching the other), the forces they exert on each other are equal and opposite, and they act for the same length of time. The effect on the total momentum of the two bodies cancels out. So, provided no other external force acts along the line during the impact,

total momentum before=total momentum after.\textbf{total momentum before} = \textbf{total momentum after}.

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