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Packet 8: Bonus 19

Continuous symmetries correspond to conservation laws according to a groundbreaking theorem devised by Emmy Noether (“NUR-thurr”). For 10 points each:
[10h] If this quantity does not depend on a coordinate, Noether’s theorem implies that the coordinate’s corresponding generalized momentum is conserved. An ODE partly named for Euler relates the derivative of this quantity with respect to a coordinate q to its derivative with respect to q dot.
ANSWER: Lagrangian
[10m] Noether’s theorem implies that systems conserve energy if and only if the Lagrangian is not dependent on this quantity. Impulse equals force integrated over this quantity.
ANSWER: time
[10e] Noether’s theorem also implies that this quantity’s conservation results from systems where the Lagrangian is position-invariant. This quantity is conserved in both inelastic and elastic collisions.
ANSWER: linear momentum [reject “angular momentum”]
<Science - Physics, Jonathan Ouyang> | VAULT II Packet 08

HeardPPBE %M %H %
2021.0080%95%35%

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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Leif Eriksen's Striking AppearanceAlbanian Rift in the Sky10101030HME
Taman's Nepo BabiesDon't Ever Take Sides Against the Family0101020ME
With Less Than 2 Years of Combined Quizbowl ExperienceBasileus II: Electric Boogaloo10101030HME

Summary

TournamentEditionMatchHeardPPBE %M %H %
VAULT II at Georgia Tech2026-01-24✓422.50100%100%25%
Triangle Cup2026-03-13✓110.000%100%0%
VAULT II at Eden Prairie HS2026-03-13✓210.0050%50%0%
VAULT II at UCSB2026-03-13✓326.67100%100%67%
VAULT II at Harvard2026-04-30✓120.00100%100%0%
VAULT II at MINT2026-06-19✓110.000%100%0%
VAULT II Stanford Online2026-07-17✓823.7588%100%50%