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Science lesson plan · 11th grade (Year 12 in England) · 60 minutes

Conservation of momentum in collisions and explosions

Forces and motion

CCSS NGSS.HS-PS2-2England: GCSE Combined Science: Forces (conservation of momentum, Higher)

Objective and success criteria

Students will: Conservation of momentum in collisions and explosions.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Momentum (p = m v)

Leads to: the next skill in this area.

Materials: Force meters, Toy cars and ramps, Mini whiteboards, A diagram or short video clip of the idea, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Momentum (p = m v)). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. What is the momentum of a 5 kg object moving at 2 m/s, in kg m/s? → 10 kgm/sPrompt: momentum = mass × velocity
  2. An object of mass 1500 kg has a momentum of 18000 kg m/s. What is its velocity, in m/s? → 12 m/sPrompt: Rearrange p = m v.
  3. A 0.15 kg ball moving at 20 m/s and a 60 kg runner moving at 0.05 m/s — which has more momentum? (neither has any / the runner / the ball / they have the same momentum) → they have the same momentumPrompt: Work out m × v for each.

Hook · 6 min

  • Drop a sheet of paper and a scrunched-up sheet together and ask why one falls faster.
  • Share the objective: Conservation of momentum in collisions and explosions. Read the success criteria together.

I do: model it · 12 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: A 2 kg trolley moving at 4 m/s hits a stationary 4 kg trolley. They stick together. What is their velocity just after the collision, in m/s? (Give 2 decimal places.)
  • Step 1: 2 × 4 = 8
  • Step 2: v = 8 ÷ 6 = 1.333
  • Step 3: So the answer is: 1.33 m/s
  • Answer: 1.33 m/s
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 12 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.
  1. A 2 kg trolley moving at 10 m/s hits a stationary 2 kg trolley. They stick together. What is their velocity just after the collision, in m/s? (Give 2 decimal places.) → 5 m/sPrompt: Total momentum before = total momentum after.
  2. A 5 kg toy cannon at rest fires a 0.05 kg ball forwards at 400 m/s. What is the recoil speed of the cannon, in m/s? → 4 m/sPrompt: The total momentum before firing is zero.

You do: independent practice · 17 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. A 1000 kg car moving at 4 m/s hits a stationary 1500 kg car. They lock together. What is their velocity just after the collision, in m/s? (Give 2 decimal places.) → 1.6 m/sPrompt: Total momentum before = total momentum after.
  2. In which situation is momentum conserved? (in a closed system with no external forces / only in elastic collisions / never / only when objects are stationary) → in a closed system with no external forcesPrompt: External forces can add or remove momentum.

Watch out for

  • Everyday meanings of words getting in the way of the science meaning: define key words explicitly.
  • Remembering facts without the reason: ask "why?" and "what is the evidence?"

Support and stretch

Support

  • Review first: Momentum (p = m v).
  • Use concrete materials: force meters.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/science/grade-11.

Free lesson plan from eurekami.com/lesson-plan-builder

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Conservation of momentum in collisions and explosions

Name

Date

Score/ 8

  1. Question 1

    A 2 kg toy cannon at rest fires a 0.02 kg ball forwards at 200 m/s. What is the recoil speed of the cannon, in m/s?

    Answerm/s

  2. Question 2

    A 1200 kg car moving at 10 m/s hits a stationary 4000 kg car. They lock together. What is their velocity just after the collision, in m/s? (Give 2 decimal places.)

    Answerm/s

  3. Question 3

    Two ice skaters at rest push apart. Skater A (40 kg) moves off at 3 m/s. What is the total momentum of the two skaters afterwards?

    • A. 0 kg m/s
    • B. 120 kg m/s
    • C. 40 kg m/s
    • D. 240 kg m/s
  4. Question 4

    A 2 kg toy cannon at rest fires a 0.01 kg ball forwards at 200 m/s. What is the recoil speed of the cannon, in m/s?

    Answerm/s

  5. Question 5

    A 1200 kg car moving at 2 m/s hits a stationary 1500 kg car. They lock together. What is their velocity just after the collision, in m/s? (Give 2 decimal places.)

    Answerm/s

  6. Question 6

    In a car crash test, momentum is conserved but kinetic energy is not. Where does the kinetic energy go?

    • A. into extra momentum
    • B. into deforming the cars, heating them and sound
    • C. into the cars' nuclear store
    • D. it is destroyed
  7. Question 7

    A 2 kg toy cannon at rest fires a 0.01 kg ball forwards at 500 m/s. What is the recoil speed of the cannon, in m/s?

    Answerm/s

  8. Question 8

    A 3000 kg car moving at 12 m/s hits a stationary 800 kg car. They lock together. What is their velocity just after the collision, in m/s? (Give 2 decimal places.)

    Answerm/s

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Answer key: Conservation of momentum in collisions and explosions

  1. 1. 2 m/s

  2. 2. 2.31 m/s

  3. 3. A. 0 kg m/s

  4. 4. 1 m/s

  5. 5. 0.89 m/s

  6. 6. B. into deforming the cars, heating them and sound

  7. 7. 2.5 m/s

  8. 8. 9.47 m/s