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MECHANICS · LESSON 04

Conservation of Momentum

Learn to choose the system before you write the conservation equation.

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PREDICT

Predict before calculating

Two carts move toward one another and stick together. Before doing algebra, predict the direction of the combined cart.

Cart A · 2 kgvA = +4 m/s →
⇄
Cart B · 3 kg← vB = −1 m/s
MODEL

Choose the physical system

Momentum conservation is a statement about a system. Choose the system and the condition that makes the model valid.

System model
pi = pf
mAvA + mBvB = (mA+mB)vf
SOLVE

Solve the collision

Use the momentum model to determine the final velocity after the carts stick together.

(2)(+4) + (3)(−1) = (2+3)vf
m/s
REFLECT

Reflect on the strategy

Which statement best explains why the final velocity is positive?

✓ Lesson complete

You completed the full Predict → Model → Solve → Reflect cycle.

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