Packet D: Bonus 16
In collisions with the “perfect” form of this property, two objects stick together and the coefficient of restitution is zero. For 10 points each:
[10e] Name this property of all real-world collisions. In collisions with this property, energy is lost to the environment.
ANSWER: inelasticity [accept inelastic collisions; accept partial inelasticity or perfect inelasticity]
[10m] Perfectly elastic conditions maximize this quantity, denoted J, which equals the time integral of force.
ANSWER: impulse
[10h] This function is sometimes called the unit impulse since if force equals this function of time, impulse equals the Heaviside step function. The position of a point mass is represented by this function.
ANSWER: Dirac delta function [prompt on Dirac function]
<Maryland A, Physics> | Packet D
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 100 | 15.50 | 63% | 61% | 31% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| Columbia A | Rowan | 10 | 10 | 0 | 20 | EM |
| Johns Hopkins | Lehigh A | 0 | 10 | 0 | 10 | M |
| Lehigh B | Penn | 0 | 10 | 0 | 10 | M |
| Maryland B | Vassar A | 10 | 10 | 10 | 30 | EMH |
| NYU B | George Mason C | 10 | 10 | 10 | 30 | EMH |
| NYU C | Vassar B | 10 | 0 | 0 | 10 | E |
| Princeton | NYU A | 10 | 10 | 10 | 30 | EMH |
| Rutgers D | Columbia B | 10 | 10 | 0 | 20 | EM |
| Stony Brook | Rutgers C | 0 | 10 | 10 | 20 | MH |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| Northern California | Main | ✓ | 4 | 22.50 | 50% | 100% | 75% |
| Southern California | Main | ✓ | 7 | 20.00 | 86% | 57% | 57% |
| Eastern Canada (1) | Main | ✓ | 5 | 14.00 | 60% | 40% | 40% |
| Florida | Main | ✓ | 4 | 12.50 | 50% | 75% | 0% |
| Great Lakes | Main | ✓ | 10 | 13.00 | 50% | 60% | 20% |
| Lower Mid-Atlantic | Main | ✓ | 9 | 15.56 | 78% | 56% | 22% |
| Upper Mid-Atlantic | Main | ✓ | 9 | 20.00 | 67% | 89% | 44% |
| North | Main | ✓ | 4 | 12.50 | 50% | 50% | 25% |
| Northeast | Main | ✓ | 12 | 15.83 | 67% | 75% | 17% |
| Pacific | Main | ✓ | 8 | 8.75 | 38% | 25% | 25% |
| South Central | Main | ✓ | 6 | 11.67 | 33% | 50% | 33% |
| Southeast | Main | ✓ | 12 | 16.67 | 83% | 42% | 42% |
| Upstate NY | Main | ✓ | 5 | 18.00 | 60% | 100% | 20% |
| UK (North) | UK | ✓ | 5 | 16.00 | 80% | 60% | 20% |