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Задать вопрос экспертам

Консультация № 185087

06.01.2012, 16:13

52.64 руб.

0 1 1

Образование

Здравствуйте! Прошу помощи в следующем вопросе:

Какую скорость имеет частица, совершающая релятивистское движение, если известно, что ее импульс в 3 раза превышает классический импульс?

Обсуждение

давно

Гордиенко Андрей Владимирович

Мастер-Эксперт
17387
18346

06.01.2012, 17:38

общий

это ответ

Здравствуйте, Евгений Онегин!

Релятивистский импульс частицы определяется выражением
p_r = mv/[$8730$](1 - v²/c²),
а классический - выражением
p = mv.

Согласно условию,
p_r = 3p,
mv/[$8730$](1 - v²/c²) = 3mv,
1/[$8730$](1 - v²/c²) = 3,
[$8730$](1 - v²/c²) = 1/3,
1 - v²/c² = 1/9,
v²/c² = 8/9,
v² = 8c²/9,
v = (2c[$8730$]2)/3 = (2 [$183$] 3 [$183$] 10⁸ [$183$] [$8730$]2)/3 [$8776$] 2,83 [$183$] 10⁸ (м/с) - искомая скорость частицы.

С уважением.

Об авторе:
Facta loquuntur.

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