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Physics / Waves

Wave in 2D of Particles and Springs

Explore Intro Page as an interactive EJS simulation for waves and optics.

Wave in 2D of Particles and Springs preview image

1. Watch or Launch

Teacher Demonstration

Use the live model as a shared screen demonstration before students try their own predictions and observations.

Launch the Interactive

Open the simulation, adjust the controls, and compare what changes on screen before answering the concept-check questions.

Launch Interactive

2. Big Ideas

Key idea Spring and damper systems show how forces can depend on displacement and velocity. A spring force tends to restore the object toward equilibrium, while damping removes mechanical energy from the motion.

What Students Can Learn

  • Relate spring force to extension or compression.
  • Identify equilibrium as the position where resultant force may be zero.
  • Recognise damping as a resistive effect that reduces oscillation amplitude.
  • Use force and motion evidence to distinguish restoring force from damping.

Guiding Question

How do spring stiffness and damping change the motion after the object is displaced?

3. Try the Investigation

Displace the System

Move the object away from equilibrium and predict the restoring direction.

Change Spring Stiffness

Compare the motion for a weaker and stronger spring.

Add Damping

Increase damping and observe how the amplitude changes over time.

Explain Energy Loss

Use the motion pattern to explain how damping affects mechanical energy.

4. Teacher Notes

Lesson Use

Use the model to connect force laws to time-dependent motion.

Discussion Prompts

Ask: Where is equilibrium? Which direction is the restoring force? What does damping change?

Teaching Moves

Ask students to sketch force direction at several positions before running the model.

5. Concept Check

These questions are generated from the topic and the concept illustrated by the simulation. Use them after students have explored the model.

Concept Score

Correct first attempts build a streak and unlock higher point multipliers on this device.

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1. What does a spring force usually try to do?

2. What happens to oscillation amplitude when damping is increased?

3. In a simple spring model, what does greater extension usually produce?

4. Why identify the equilibrium position?

5. What should students use as evidence for damping?

7. Learning Pulse

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