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Elastic Collision.

Choose two cart masses and resolve a collision while checking conservation.

Interactive experimentintuitiveField note ·
INTERACTIVE EXPERIMENT / P09

Elastic Collision

Choose two cart masses and resolve a collision while checking conservation.

PLAY & EXPLAIN

A one-dimensional perfectly elastic collision starts with cart A moving at 4 m/s and cart B stationary. Compare motion before and after contact.

0.54
0.54
AB
A velocity (m/s)
4.00
B velocity (m/s)
0.00
Total momentum (kg m/s)
4.00
Kinetic energy (J)
8.00

Equal masses exchange velocities. This ideal point-cart calculation assumes no external impulse or energy loss; the drawing is a before/after illustration.

Point-cart one-dimensional motion, no external impulse and no energy dissipation are assumed. The drawing is a schematic before/after view, not a contact-dynamics simulation.

THE SHORT VERSION

Elastic Collision, explained.

A perfectly elastic collision conserves both total momentum and total kinetic energy in an isolated system.

01 / THE MECHANISM

Why it happens

Cart A begins at four metres per second and B at rest. The one-dimensional two-mass solution computes both final velocities and independently displays momentum and energy.

A perfectly elastic collision conserves both total momentum and total kinetic energy in an isolated system.

Read the result

Check momentum and energy totals as well as individual speeds. A negative final velocity means reversal along the selected one-dimensional axis.

02 / FOLLOW IT THROUGH

A worked example

Swap velocities with equal ideal masses

  1. Set both cart masses to one kilogram and resolve the collision.

  2. Inspect A stopping and B taking the original four-metre-per-second velocity.

  3. Raise B’s mass and repeat, observing A’s possible rebound while the total conserved quantities remain unchanged.

OPTIONAL DEEPER DETAILGo deeper: inside the model

Inside this model

Cart A begins at four metres per second and B at rest. The one-dimensional two-mass solution computes both final velocities and independently displays momentum and energy.

03 / BEYOND THE EXPERIMENT

Where this idea is useful

A practical use

Predict why equal ideal masses exchange velocities while a light cart can rebound from a heavier one.

CHECK YOUR INTUITION

A common misconception

THE TEMPTING CONCLUSION

“Conserving momentum alone makes a collision elastic.”

THE MORE USEFUL DISTINCTION

An elastic collision also conserves kinetic energy. Other collisions can conserve momentum while dissipating kinetic energy into internal modes.

What this explanation leaves out

  • Point-cart one-dimensional motion, no external impulse and no energy dissipation are assumed. The drawing is a schematic before/after view, not a contact-dynamics simulation.
ONE MORE QUESTION

What does a rebound’s negative sign represent?

It is motion opposite to the initial positive axis, not negative speed magnitude or negative kinetic energy.

TAKE THE IDEA WITH YOU

Which conserved total can distinguish the collision models you are comparing?

Associated thinkers

Associated withIsaac Newton ↗

Associations marked provisional are awaiting source review.

Further reading

Explore the original research or the teaching reference behind this experiment.