← Teacher guide

Same push, different mass

Students state the qualitative relationship between force, mass and acceleration, predict which object accelerates more under the same force, and read the pattern from data (AC9S7U04, node 5, an integration node).

Year 7 Physics · Forces and motion · about 17 minutes · Open the student lesson

Classroom resources

Load these into Waypoints Prepare: choose Load URL and paste the copied address, or download the file and import it. In Prepare, the worksheet's Teacher edition shows the answers; the student copy hides them.

Students will be able to

Timing

Engage and Explore 6 min · Explain 8 min · Evaluate 3 min · Typical adds 3 min, Wider about 1 min

Before class

A short integration tutorial that follows the four Year 7 forces lessons. Set the width with ?width=minimum, typical (default) or wider. The Year 10 lessons put numbers on this (F = ma); here the aim is the qualitative pattern and the data.

Board notes: the trolley sits on a frictionless track; the board shows the acceleration before Play. The data tables in the questions are small, rounded numbers chosen for a clear pattern. Don't call the pattern F = ma yet.

Running the lesson

  1. Engage: tally the predictions. Ask the 'full one' group what a heavier trolley resists.
  2. Explore: ask what happened to the acceleration when the mass doubled.
  3. Explain: the two statements and the data patterns are the success criteria.
  4. In your own words: the two bar graphs and a sentence for each.

The hard part (on purpose)

Putting force and mass together. When a student says a heavier object accelerates more, ask which one they would rather push to get moving.

When students get stuck

What you will seeA question to askThe fix
A student says acceleration is the same speed.Is acceleration how fast, or how quickly speed changes?How quickly speed changes. Same force on a bigger mass changes speed more slowly.
A student says heavier means more acceleration.Which trolley is easier to get moving?The lighter one. Heavier means more resistance to changing motion.

Answers to the checks

  1. Engage: the trolley: You give an empty trolley and a full trolley exactly the same steady push. Which one speeds up more?
    The empty one. For the same unbalanced force, a bigger mass means a smaller acceleration. Mass resists changes in motion.
  2. 2 kg: The push is 6 N. Set the mass to 2 kg and read the acceleration.
  3. 4 kg: Double the mass to 4 kg. What happens to the acceleration?
  4. Which accelerates more: The same unbalanced force acts on a 2 kg object and an 8 kg object. Which accelerates more?
    The 2 kg object
    For the same force, the smaller mass accelerates more.
  5. The relationship: Which statement is right?
    A bigger unbalanced force gives a bigger acceleration, and a bigger mass gives a smaller one
    More force, more acceleration. More mass, less acceleration.
  6. Force data: Same trolley, 2 kg. Pushing with 2 N gives 1 m/s², 4 N gives 2 m/s², 6 N gives 3 m/s². What acceleration would 10 N give (m/s²)?
    5
    The acceleration goes up by the same amount for each extra newton: 10 N gives 5 m/s².
  7. Mass data: Same push of 8 N. A 1 kg trolley accelerates at 8 m/s², 2 kg at 4 m/s², 4 kg at 2 m/s². What acceleration would 8 kg give (m/s²)?
    1
    Each time the mass doubles, the acceleration halves: 8 kg gives 1 m/s².
  8. Mix it up: Looking back at unbalanced forces: a box slides to the right. Friction pulls it left with 6 N and nothing pushes it. What does the box do?
    It slows down
    The net force is 6 N to the left, against the motion, so the box slows down.
  9. The push you need: The trolley is 5 kg. Set the push so the acceleration is 2 m/s².
  10. Double the mass: You change the mass to 10 kg and keep the same push. What must happen to the acceleration?
    It halves
    Doubling the mass halves the acceleration for the same push.
  11. Elaborate: rockets and roads: A rocket burns fuel, so its mass falls while the thrust stays the same. What happens to its acceleration?
    It increases
    The same force on a smaller mass gives a bigger acceleration. This is one reason rockets are built in stages that fall away.

Solutions

One possible solution for each task. Other correct programs are fine.

Elaborate: hit a target › The push you need

Open task: any program that does what the step asks.

Elaborate: hit a target › Double the mass

Open task: any program that does what the step asks.

Stretch and support

Stretch: A 4 kg trolley and a 1 kg trolley are pushed with the same force and the 4 kg one accelerates at 2 m/s². How fast does the 1 kg one accelerate? (8 m/s².)

Support: Give the data as two small tables with the acceleration column blank for the last row, and ask students to say 'doubles' or 'halves' for each step.

Coach prompt (optional)

For a student who has done the lesson and is still stuck. They paste it into an AI tool your school allows; it asks questions about this lesson's one idea and doesn't give answers. Students see it on the course recap page only through a link ending in ?coach=1: recap with coach prompts.

You are a patient science coach for a Year 7 student in Australia. Help me understand ONE idea only, from the lesson "Same push, different mass".

The idea: Relating force, mass and motion change: I can describe the qualitative relationship between force, mass and acceleration and interpret data from force investigations.

What understanding looks like:
- States the qualitative relationship between force, mass and acceleration
- Correctly predicts which object accelerates more under the same force
- Identifies the pattern in data from a force investigation

Mistakes students often make here:
- A student says acceleration is the same speed.
- A student says heavier means more acceleration.

How to coach me (rules from the Waypoints Kit coach):
- Ask me one short question at a time (2 to 4 sentences) and wait for my answer. Never give me the answer before you have heard my thinking, and don't hide the answer inside your question.
- Start in Discover: ask me to explain the idea in my own words, or to predict what happens in a simple example. I can switch any time: "teach it back" (you play a beginner and I explain), "spot the flaw" (you show me an answer with one common mistake and I find it), or "check" (I explain, and you tell me what is solid and what to revisit).
- If I am stuck or say "just tell me", ask what I think first, then give a small hint or a simpler example. Explain only after I have had a real go.
- If I seem to be missing the idea that comes before this one (Gravitational force and mass), check it quickly, then come back.
- Stay in this idea: don't teach later ideas or add extra content. If I ask about something else, say it is for another lesson and bring me back.
- After you help, ask me one reflective question, such as how I know my answer is right or what I would check.
- Praise my effort and method, not my ability.
- You can be wrong: if I rely on something you said, remind me to check it against my notes or the lesson. If you don't know, say so.
- Use simple words.
- Stop when I can explain the idea in my own words and get one new example right. Then tell me to go back to the lesson "Same push, different mass".

Exit ticket

The same push is given to a 3 kg box and a 6 kg box. Which accelerates more, and by how much compared with the other?

The 3 kg box. It accelerates twice as much, because it has half the mass.

What each step is for

Where it leads

Next: Year 8 energy, then Year 10 Newton's laws, where the pattern becomes F = ma.

In class: a dynamics trolley on a ramp with a light string and different masses; a bowling ball and a tennis ball given the same push; data logging with light gates if available.