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Консультация № 202816
15.05.2022, 19:11
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15.05.2022, 22:12
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Два спутника вращаются вокруг Земли в одном направлении по круговым орбитам, причём радиус орбиты второго спутника в 3 раза больше радиуса орбиты первого спутника: r2=3r1. Величина скорости движения спутника 1 в системе отсчёта, связанной с центром Земли (но не вращающейся вместе с Землёй), равна v1=3 км/с. Найдите скорость спутника 2 относительно спутника 1 в указанные ниже моменты времени. Ответы выразите в км/с, округлив до десятых.
1) Cкорость спутника 2 относительно спутника 1, когда они находятся друг над другом на прямой, проходящей через центр Земли.
2) Cкорость спутника 2 относительно спутника 1, когда они находятся друг напротив друга на прямой, проходящей через центр Земли.
Два спутника вращаются вокруг Земли в одном направлении по круговым орбитам, причём радиус орбиты второго спутника в 3 раза больше радиуса орбиты первого спутника: r2=3r1. Величина скорости движения спутника 1 в системе отсчёта, связанной с центром Земли (но не вращающейся вместе с Землёй), равна v1=3 км/с. Найдите скорость спутника 2 относительно спутника 1 в указанные ниже моменты времени. Ответы выразите в км/с, округлив до десятых.
1) Cкорость спутника 2 относительно спутника 1, когда они находятся друг над другом на прямой, проходящей через центр Земли.
2) Cкорость спутника 2 относительно спутника 1, когда они находятся друг напротив друга на прямой, проходящей через центр Земли.
Обсуждение
15.05.2022, 22:42
общий
15.05.2022, 22:45
это ответ
Здравствуйте
Дано:
r2=3r1
v1=3 км/с
Найти: v21
Решение:
Первая космическая скорость v связана с радиусом орбиты спутника r и массой планеты М следующей формулой
v2=GM/r (1), G - гравитационная постоянная.
Тогда
r=GM/v2 (2)
Тогда
v22=GM/3r1=v12/3 = 32/3 = 3 (км/с)2
Тогда
v2=[$8730$]3 [$8776$] 1,7 км/с
1) рассмотрим первый случай: спутники находятся с одной стороны Земли, а значит движутся в одну сторону и их относительная скорость
v21=v2-v1=1,7-3=-1,3 км/с. Величина скорости v21=1,3 км/с
2) второй случай: спутники по разные стороны Земли, следовательно в глобальном масштабе в данный момент движутся навстречу друг другу.
Тогда
v21=v2+v1=1,7+3=4,7 км/с
*******
Удачи
Дано:
r2=3r1
v1=3 км/с
Найти: v21
Решение:
Первая космическая скорость v связана с радиусом орбиты спутника r и массой планеты М следующей формулой
v2=GM/r (1), G - гравитационная постоянная.
Тогда
r=GM/v2 (2)
Тогда
v22=GM/3r1=v12/3 = 32/3 = 3 (км/с)2
Тогда
v2=[$8730$]3 [$8776$] 1,7 км/с
1) рассмотрим первый случай: спутники находятся с одной стороны Земли, а значит движутся в одну сторону и их относительная скорость
v21=v2-v1=1,7-3=-1,3 км/с. Величина скорости v21=1,3 км/с
2) второй случай: спутники по разные стороны Земли, следовательно в глобальном масштабе в данный момент движутся навстречу друг другу.
Тогда
v21=v2+v1=1,7+3=4,7 км/с
*******
Удачи
Об авторе:
С уважением
shvetski
С уважением
shvetski
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