USAAAO 2024, I кръг — Задача 24

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

Tara has become obsessed with X stars and decides to look for them in other galaxies. She observes one on the edge of a galaxy with radius $r = 15 \times 10^3 pc$. She estimates that the star is moving with at a speed of $v = 270km/s$. What is a good estimate for the mass of the galaxy in unit mass of the sun?

(a) $1 \times 10^{6}$

(b) $1 \times 10^{11}$

(c) $1 \times 10^{18}$

(d) $1 \times 10^{28}$

(e) $1 \times 10^{41}$

Отговори

Решение

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