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]
<Physics>
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
| 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 |
| 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 |