Question
The common statement of this equation omits gamma, so it only applies to non-relativistic objects. For 10 points each:
[10e] Give this simple equation that summarizes Einstein's statement of mass–energy equivalence.
ANSWER: E equals m c squared [or E equals gamma m c squared; or energy equals mass times the speed of light squared]
[10m] Gamma is this quantity that serves as a coefficient describing how relativistic effects scale physical quantities. This quantity equals one minus v-squared-over-c-squared, all to the negative-one-half power.
ANSWER: Lorentz factor [or gamma factor]
[10h] At low speeds, the Lorentz factor can be binomially expanded into a MacLaurin series that starts with one plus this term, which is the classical kinetic energy term. Give your answer in terms of beta, which equals v-over-c. You have ten seconds.
ANSWER: one-half-beta-squared [accept clear equivalents, like square of beta all over two]
<Science - Physics>
Data
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|---|---|
| 2025 PACE NSC | 06/07/2025 | Y | 37 | 15.95 | 97% | 60% | 3% |