Packet 10: Bonus 20
For an incompressible fluid, this equation simply states that the divergence of the velocity field scaled by density. equals zero. For 10 points each:
[10h] Name this equation in fluid dynamics implied by the conservation of mass. This equation states that the time derivative of density, plus the divergence of the flow velocity field, equals zero.
ANSWER: continuity equation
[10m] In electromagnetism, the continuity equation expresses local charge conservation and is derived by taking the divergence of both sides on this law, which relates the line integral of the magnetic field around a loop to the current enclosed within it.
ANSWER: Ampère's law [or Ampère's circuital law]
[10e] Another continuity equation, implied by conservation of energy, describes the transfer of this type of energy through convection, conduction, and radiation.
ANSWER: heat energy [or thermal energy]
<Science - Physics, Rohan Kher> | VAULT II Packet 10
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 19 | 17.37 | 100% | 53% | 21% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| VAULT II at Georgia Tech | 2026-01-24 | ✓ | 4 | 15.00 | 100% | 25% | 25% |
| VAULT II at Eden Prairie HS | 2026-03-13 | ✓ | 1 | 30.00 | 100% | 100% | 100% |
| VAULT II at McGill | 2026-03-13 | ✓ | 1 | 20.00 | 100% | 100% | 0% |
| VAULT II at UCSB | 2026-03-13 | ✓ | 3 | 10.00 | 100% | 0% | 0% |
| VAULT II at Harvard | 2026-04-30 | ✓ | 1 | 10.00 | 100% | 0% | 0% |
| VAULT II at MINT | 2026-06-19 | ✓ | 1 | 10.00 | 100% | 0% | 0% |
| VAULT II Stanford Online | 2026-07-17 | ✓ | 8 | 21.25 | 100% | 88% | 25% |