Short Answer
½mv² + ½Iω² is the best answer.
This concept lives inside the mechanics toolkit: forces, motion, energy, momentum, and rotation. The safest way to solve it is to name the governing law first, then connect the variables in units you trust.
Total KE = translational (½mv²) + rotational (½Iω²).
Why This Answer Is Correct
This is a Hard-level question in Classical Mechanics. The prompt is really testing whether you can connect the concept to its defining physical relationship instead of picking a nearby-but-wrong term.
Mechanics questions usually become easier once you identify whether the problem is about force balance, kinematics, energy, or conservation.
Choices At A Glance
- A. ½mv²
- B. ½Iω²
- C. ½mv² + ½Iω²
- D. mv²
When similar options appear on an exam, eliminate the ones that break the core law, use the wrong units, or confuse a definition with a consequence.
Topic Snapshot
Topic: Classical Mechanics
Difficulty: Hard
Best next move: Re-state the governing law in your own words, then solve one more example from the same topic before moving on.