energy - 2024 ACF Fall - Buzzpoints App

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]

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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


UW Chastity	Alberta	10	10	0	20
Arizona State A	Arizona State B	10	10	0	20
UBC A	UBC B	0	10	0	10
UW Gluttony	UW Greed	10	0	0	10
UW Lust	UW Envy	10	10	0	20
UW Wrath	UW Pride	10	10	0	20
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
Chicago A	Notre Dame A	10	10	10	30
Illinois C	Chicago B	10	10	0	20
Illinois D	Illinois A	10	0	0	10
Illinois B	WashU A	10	10	10	30
CWRU A (UG)	Miami A (UG)	10	10	0	20
CWRU B (DII)	Miami B (UG)	10	10	0	20
Michigan A (UG)	Michigan State A	10	10	10	30
Michigan B (UG)	Ohio State B (DII)	10	0	0	10
Ohio State C (DII)	West Virginia A (UG)	10	10	0	20
Alabama A	Georgia A	10	10	0	20
Vanderbilt A	Emory A	10	10	0	20
Georgia Tech D	Georgia Tech A	10	10	0	20
Georgia Tech C	Furman	10	10	0	20
Auburn A	Georgia Tech E	10	10	0	20
Emory Oxford	Mississippi State A	10	10	0	20
South Carolina A	Tennessee A	10	0	0	10
Georgia Tech B	South Carolina B	10	10	0	20
Southern	Tennessee B	10	0	0	10
Clemson A	Vanderbilt B	10	0	0	10
UNC D	Virginia	10	0	0	10
Columbia A (UG)	Rutgers A (UG)	10	10	0	20
Maryland B (DII)	Lehigh A (UG)	10	10	0	20
Maryland A (DII)	Columbia J (DII)	10	10	10	30
Columbia B	Penn B (DII)	10	10	10	30
Princeton A (UG)	Rutgers B	10	10	10	30
Iowa A	Northwestern A	10	0	0	10
Indiana	Northwestern B	10	0	0	10
Notre Dame B	WashU B	10	0	0	10
Purdue A	Purdue B	10	10	10	30
Purdue C	Notre Dame C	10	10	0	20