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Science lesson plan · 8th grade (Year 9 in England) · 45 minutes

Find the resultant of several forces

Forces and motion

CCSS NGSS.MS-PS2-2CCSS NGSS.HS-PS2-1England: KS3 Physics: Motion and forcesEngland: GCSE Combined Science: Forces (resultant forces)

Objective and success criteria

Students will: Find the resultant of several forces.

  • 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: Balanced and unbalanced forces

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 · 5 min

  • Quick retrieval from earlier learning (Balanced and unbalanced forces). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Balanced forces: which statement is NOT true? (When forces are balanced, a still object stays still. / When forces are balanced, a moving object keeps moving at the same speed in the same direction. / A book resting on a table has balanced forces acting on it. / A still object has no forces acting on it.) → A still object has no forces acting on it.Prompt: Can something move steadily with balanced forces?

Hook · 5 min

  • Drop a sheet of paper and a scrunched-up sheet together and ask why one falls faster.
  • Share the objective: Find the resultant of several forces. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: A car's engine provides a driving force of 2000 N forwards. Air resistance is 300 N and friction is 150 N, both backwards. What is the resultant force, in N?
  • Step 1: 300 + 150 = 450
  • Step 2: 2000 − 450 = 1550
  • Step 3: The resultant acts forwards, so the car speeds up.
  • Step 4: So the answer is: 1550 N
  • Answer: 1550 N
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 10 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 car's engine provides a driving force of 1000 N forwards. Air resistance is 400 N and friction is 100 N, both backwards. What is the resultant force, in N? → 500 NPrompt: Add the forces acting backwards.
  2. Two forces act on a box at right angles: 60 N east and 80 N north. What is the size of the resultant force, in N? → 100 NPrompt: Draw the forces nose to tail to make a right-angled triangle.

You do: independent practice · 10 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 · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Two forces act on a box at right angles: 100 N east and 240 N north. What is the size of the resultant force, in N? → 260 NPrompt: Draw the forces nose to tail to make a right-angled triangle.
  2. A car's engine provides a driving force of 800 N forwards. Air resistance is 200 N and friction is 200 N, both backwards. What is the resultant force, in N? → 400 NPrompt: Add the forces acting backwards.

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: Balanced and unbalanced forces.
  • 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-8.

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

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Find the resultant of several forces

Name

Date

Score/ 8

  1. Question 1

    A car's engine provides a driving force of 2000 N forwards. Air resistance is 300 N and friction is 100 N, both backwards. What is the resultant force, in N?

    AnswerN

  2. Question 2

    A skydiver's weight is 800 N. At this moment the air resistance is 800 N. What is happening to the skydiver's motion?

    800 N800 N
    • A. speeds up
    • B. falls at a constant speed
    • C. slows down
  3. Question 3

    Two forces act on a box at right angles: 15 N east and 20 N north. What is the size of the resultant force, in N?

    AnswerN

  4. Question 4

    A car's engine provides a driving force of 2000 N forwards. Air resistance is 400 N and friction is 150 N, both backwards. What is the resultant force, in N?

    AnswerN

  5. Question 5

    A skydiver's weight is 600 N. At this moment the air resistance is 200 N. What is happening to the skydiver's motion?

    200 N600 N
    • A. speeds up
    • B. falls at a constant speed
    • C. slows down
  6. Question 6

    Two forces act on a box at right angles: 30 N east and 40 N north. What is the size of the resultant force, in N?

    AnswerN

  7. Question 7

    A car's engine provides a driving force of 2000 N forwards. Air resistance is 500 N and friction is 100 N, both backwards. What is the resultant force, in N?

    AnswerN

  8. Question 8

    A skydiver's weight is 800 N. At this moment the air resistance is 1100 N. What is happening to the skydiver's motion?

    1100 N800 N
    • A. speeds up
    • B. falls at a constant speed
    • C. slows down

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Answer key: Find the resultant of several forces

  1. 1. 1600 N

  2. 2. B. falls at a constant speed

  3. 3. 25 N

  4. 4. 1450 N

  5. 5. A. speeds up

  6. 6. 50 N

  7. 7. 1400 N

  8. 8. C. slows down