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Консультация № 200663
16.04.2021, 10:38
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1
Здравствуйте! Прошу помощи в следующем вопросе:
Две ракеты движутся вдоль одной прямой навстречу друг другу со скоростями V1 и V2 . Скорость приближения второй ракеты относительно наблюдателя в первой ракете равна Vотн . Найти скорость второй ракеты, относительно неподвижного наблюдателя. Скорость света в вакууме c=3·10^8 м/с. V1= 0,4 c , Vотн= 0,7 с
а) 1,1*10^8 м/с; б) 1,3*10^8 м/с; в) 1,5*10^8 м/с ; г) 1,9*10^8 м/с; д) 2,1*10^8 м/с;
Две ракеты движутся вдоль одной прямой навстречу друг другу со скоростями V1 и V2 . Скорость приближения второй ракеты относительно наблюдателя в первой ракете равна Vотн . Найти скорость второй ракеты, относительно неподвижного наблюдателя. Скорость света в вакууме c=3·10^8 м/с. V1= 0,4 c , Vотн= 0,7 с
а) 1,1*10^8 м/с; б) 1,3*10^8 м/с; в) 1,5*10^8 м/с ; г) 1,9*10^8 м/с; д) 2,1*10^8 м/с;
Обсуждение
16.04.2021, 17:25
общий
это ответ
Здравствуйте, Дмитрий!
Дано:
Vотн=0,7с
V1=0,4с
Найти: V2
Решение:
При движении тел со скоростями близкими к скорости света используем релятивистский закон сложения скоростей:
Vотн=(V1+V2)/[1+(V1V2)/c2] (*)
Как-то страшно становится, как подумаешь, что отсюда нужно выразить V2, поэтому давайте сперва попробуем избавиться от лишних ... например, с.
Для этого примем
V2=x*c (**)
Подставим известные значения, а также (**) в (*), получим:
0,7*с=(0,4*с+х*с)/[1+(0,4*с*х*с)/с2] = (0,4*с+х*с)/(1+0,4*х)
0,7*(1+0,4х)=(0,4+х)
0,7-0,4=х-0,4х
0,3=0,6х
x=0,5
Следовательно, согласно (**)
V2=0,5c
*******
Удачи
Дано:
Vотн=0,7с
V1=0,4с
Найти: V2
Решение:
При движении тел со скоростями близкими к скорости света используем релятивистский закон сложения скоростей:
Vотн=(V1+V2)/[1+(V1V2)/c2] (*)
Как-то страшно становится, как подумаешь, что отсюда нужно выразить V2, поэтому давайте сперва попробуем избавиться от лишних ... например, с.
Для этого примем
V2=x*c (**)
Подставим известные значения, а также (**) в (*), получим:
0,7*с=(0,4*с+х*с)/[1+(0,4*с*х*с)/с2] = (0,4*с+х*с)/(1+0,4*х)
0,7*(1+0,4х)=(0,4+х)
0,7-0,4=х-0,4х
0,3=0,6х
x=0,5
Следовательно, согласно (**)
V2=0,5c
*******
Удачи
5
Об авторе:
С уважением
shvetski
С уважением
shvetski
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