Packet 6: Bonus 8
This equation is derived by applying Newton’s third law or conservation of momentum to an object continuously expelling and losing mass. For 10 points each:
[10m] Name this equation which sets “delta-v” equal to the exhaust velocity times the natural log of the ratio of initial to final masses.
ANSWER: rocket equation [or Tsiolkovsky rocket equation; or classical rocket equation; or ideal rocket equation]
[10h] In some forms of the rocket equation, the exhaust velocity is replaced with little g times this quantity’s “specific” form, which quantifies the efficiency of a rocket.
ANSWER: impulse [or specific impulse]
[10e] Many derivations of the rocket equation rely on the fact that this law states force equals the time derivative of a system’s linear momentum. More commonly, this law is stated “F equals m a.”
ANSWER: Newton’s second law of motion [accept anything indicating Isaac Newton and two]
<Science - Physics, Rohan Kher> | VAULT II Packet 06
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 33 | 15.76 | 94% | 61% | 3% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| Georgia A | Washington | 0 | 0 | 10 | 10 | E |
| New York | Georgia B | 0 | 0 | 10 | 10 | E |
| Texas A | California | 0 | 0 | 0 | 0 | |
| Texas B | Kentucky | 10 | 0 | 10 | 20 | ME |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| VAULT II at Georgia Tech | 2026-01-24 | ✕ | 6 | 20.00 | 100% | 100% | 0% |
| Triangle Cup | 2026-03-13 | ✓ | 3 | 10.00 | 67% | 33% | 0% |
| VAULT II at Eden Prairie HS | 2026-03-13 | ✓ | 1 | 10.00 | 100% | 0% | 0% |
| VAULT II at McGill | 2026-03-13 | ✓ | 4 | 17.50 | 100% | 50% | 25% |
| VAULT II at UCSB | 2026-03-13 | ✓ | 4 | 17.50 | 100% | 75% | 0% |
| VAULT II Northern UK | 2026-04-24 | ✓ | 3 | 20.00 | 100% | 100% | 0% |
| VAULT II Southern UK | 2026-04-24 | ✓ | 4 | 17.50 | 100% | 75% | 0% |
| VAULT II at Harvard | 2026-04-30 | ✓ | 3 | 13.33 | 100% | 33% | 0% |
| VAULT II at MINT | 2026-06-19 | ✓ | 4 | 10.00 | 75% | 25% | 0% |
| VAULT II Stanford Online | 2026-07-17 | ✓ | 7 | 18.57 | 100% | 86% | 0% |