По олимпиадам / USAPhO

USAPhO 2021

F = ma

PDF организаторовВсе заданияВсе решения
1Speed-time graph of a ball turning around *
2Horizontal velocity graph of a ball turning around *
3Force balance across two pivoted rods *
4Westward drift when jumping to different heights *
5Shortest time between two cities with bounded acceleration *
6Work to lift a submerged bucket to the surface *
7Speed change from a slowly moving wall *
8Coins to sample for a precise total weight *
9Flight time to simulate Mars gravity *
10Final spin rate after a stone slides to a disk's rim *
11Ranking fall times of three projectiles *
12Maximum launch speed before a spring platform slips *
13Acceleration directions on a semicircular racetrack *
14Scaling of swim speed with a bacterium's size *
15Ramp angle that minimizes descent time *
16True statements from a velocity-position graph *
17Comparing accelerations of points on clock hands *
18Shape of a smoke plume after a wind gust *
19Gravitational field near a cavity in a planet *
20Speed of the Moon's day-night terminator *
21Ramp angle maximizing a rolling sphere's kinetic energy *
22Angle condition for an icebreaker to submerge ice *
23Period of oscillation on a nonlinear spring *
24Speed reduction for two satellites to meet *
25Fraction of ejected pellets that land back on a planet *

Работа 3

PDF организаторовВсе заданияВсе решения
1The Jet Stream
2The Dark Forest
3Great Hall

USAPhO

PDF организаторовВсе заданияВсе решения
1A1. Toffee Pudding
2A2. Flashlight
3A3. Electroneering
4B1. Disk Jockey
5B2. Hot Pocket
6B3. The Mad Hatter