energy - 2024 ACF Fall at North Carolina

Question

Two forms of this quantity are added in the Hamiltonian. For 10 points each:

[10e] Name this physical quantity measured in joules.

ANSWER: energy [accept kinetic energy or potential energy]

[10m] Kinetic energy also appears in an operator named after this physicist. Local extrema are found for constrained problems using this French physicist’s namesake multipliers, denoted lambda.

ANSWER: Joseph-Louis Lagrange [accept Lagrangian; accept Lagrange multipliers]

[10h] This quantity equals the time integral of the Lagrangian. Stationary points of this quantity’s namesake functional give rise to the Euler-Lagrange equations.

ANSWER: action [accept action functional]

Back to bonuses

Summary


2024 ACF Fall at Ohio State	fall	Y	5	20.00	100%	80%	20%
2024 ACF Fall at Washington	fall	Y	6	16.67	83%	83%	0%
2024 ACF Fall at Georgia	fall	Y	10	17.00	100%	70%	0%
2024 ACF Fall at North Carolina	fall	Y	6	16.67	100%	50%	17%
2024 ACF Fall at Rutgers	fall	Y	5	26.00	100%	100%	60%
2024 ACF Fall at Illinois	fall	Y	9	18.89	100%	56%	33%

Data


Tusculum	Liberty B	10	10	10	30
Duke B	Liberty C	10	0	0	10
William & Mary	NC State	10	10	0	20
UNC A	Liberty A	10	10	0	20
UNC C	Virginia Tech A	10	0	0	10
UNC D	Virginia	10	0	0	10