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Topic summary · Mechanics (M1)

Momentum and Impulse summary

Momentum mvmv changes when an impulse acts. Impulse equals change in momentum; momentum is conserved when external impulse is zero.

Files: M1-Momentum and Impulse.pdf · M1-Momentum and Impulse answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • J=Δp\mathbf{J}=\Delta\mathbf{p} (and J=Ft\mathbf{J}=\mathbf{F}t for constant force).
  • Conservation of momentum along a line for collisions/explosions without external impulse.
  • Define a positive direction before writing equations.
  • Units: kg·m/s for momentum; N·s for impulse.

Worked example 1 — Impulse

Mass 2 kg2\,\mathrm{kg} speeds from 33 to 8 m s−18\,\mathrm{m\,s^{-1}} same direction. Impulse?

Working

10 N⋅s10\,\mathrm{N\cdot s}

J=m(v−u)=2×5J=m(v-u)=2\times5.

Worked example 2 — (and for constant force)

Use this method from the Momentum and Impulse sheet: J=Δp\mathbf{J}=\Delta\mathbf{p} (and J=Ft\mathbf{J}=\mathbf{F}t for constant force).

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 3 — Conservation of momentum along a line for collisions/ex

Use this method from the Momentum and Impulse sheet: Conservation of momentum along a line for collisions/explosions without external impulse.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 4 — Define a positive direction before writing equations

Use this method from the Momentum and Impulse sheet: Define a positive direction before writing equations.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Worked example 5 — Units: kg·m/s for momentum; N·s for impulse

Use this method from the Momentum and Impulse sheet: Units: kg·m/s for momentum; N·s for impulse.

Working

Attempt a matching question on the sheet, then check the Answers PDF.\text{Attempt a matching question on the sheet, then check the Answers PDF.}

Each key learning point matches a question type on the printable worksheet.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.

Momentum and Impulse summary — worksheet & answers PDF