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9709 · 4.3

Momentum

Momentum is simply 'mass in motion' and has a direction. In any interaction like a collision, the total amount of this 'mass in motion' before and after is the same, provided no external forces interfere.

Need to know

What you need to know

  • Units: kg m s⁻¹.
  • Vector Quantity: Direction is crucial. Always define a positive direction for one-dimensional problems.
  • A stationary object ($v=0$) has zero momentum.

Explanation

The Rules of Crashing

  1. Momentum, $p = mv$, is a vector quantity. In a closed system with no external forces, total momentum is always conserved.
  2. Impulse is the change in momentum, $I = \Delta p = F \Delta t$. It's also the area under a force-time graph.
  3. In elastic collisions, both momentum and kinetic energy are conserved. In inelastic collisions, only momentum is conserved; some KE is lost.
  4. In explosions from rest, the system's initial momentum is zero. By conservation, the total momentum of all fragments must also be zero.