USAAAO 2024, I кръг — Задача 15

USAAAO 2024 - First Round · 10 февруари 2024 г.

Problem writers

Wesley Andrade, Abhay Bestrapalli, Austin Chen, Justin Chen, Ved Gund, Hagan Hensley, Sandesh Kalantre, Evan Kim, David Lee, Joe McCarty, Arjun Patel, Sahil Pontula, Tara Rezaei, Raul Teixeira, Leo Yao, David Zhang

Условие

Two protons A and B lie in the solar interior. In the rest frame of proton A, the proton B approaches it radially from a large distance with speed 0.9c0.9c. In the rest frame of proton A, identify the radius of the “classically forbidden” region for proton B (i.e. the region in which proton B cannot enter).

(a) 6.6×10−126.6 \times 10^{-12} m

(b) 4.1×10−154.1 \times 10^{-15} m

(c) 2.3×10−152.3 \times 10^{-15} m

(d) 3.8×10−183.8 \times 10^{-18} m

(e) 1.2×10−181.2 \times 10^{-18} m

Отговори

Решение

Оригинал в Архива: usaaao_first_exam_2024-3.pdf · официални решения: usaaao_first_exam_2024_solutions-1.pdf