Further Mechanics Problem Solving

This final lesson brings together everything you have learned in this course. Exam questions in further mechanics often combine multiple topics — impulse with 2D momentum, circular motion with energy conservation, banked curves with friction. The key to solving these multi-step problems is systematic working.

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Problem-Solving Strategy

For any further mechanics problem, follow these steps:

1. Draw a clear diagram showing all forces, velocities, and angles
2. Identify the physics — which principles apply? (momentum conservation, energy conservation, centripetal force, impulse, etc.)
3. Define your coordinate system and sign convention
4. Write the equations using the appropriate formulae
5. Solve step by step, keeping units consistent
6. Check your answer — is it physically reasonable?

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Multi-Step Problem 1: 2D Collision with Energy Analysis

A 0.15 kg snooker ball travelling at 6.0 m s⁻¹ hits a stationary ball of the same mass. After the collision, the cue ball moves at 3.5 m s⁻¹ at 35° to its original direction. Find the velocity of the object ball and determine whether the collision is elastic.

Step 1: Momentum Conservation