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A level Physics · Edexcel 9PH0 · Topic 6A

Impulse and conservation of momentum

Key points

  • Impulse = force × time = change of momentum: FΔt=ΔpF\Delta t = \Delta p (unit N s, same as kg m s−1^{-1}).
  • The area under a force–time graph gives the impulse. Increasing the impact time (crumple zones, airbags, bending knees) reduces the average force for the same momentum change.
  • Conservation of momentum applies in two dimensions: momentum is conserved separately in each perpendicular direction. Resolve, conserve, then recombine with Pythagoras.
  • Kinetic energy and momentum are linked by Ek=p22mE_k = \frac{p^2}{2m}.
  • Elastic collisions conserve kinetic energy; inelastic collisions do not (energy goes to heat, sound and deformation). Total energy is always conserved.
  • To decide if a collision is elastic, calculate total kinetic energy before and after and compare.

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Impulse connects a force acting for a time to the change of momentum it produces, which explains how safety features work. This sub-topic also applies conservation of momentum to collisions at angles and classifies collisions using kinetic…

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