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Консультация № 159686
05.02.2009, 16:19
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Помогите плиз решить задачку!!
Частица движется со скоростью V = с/3, где с - скорость света в вакууме. Какую долю энергии покоя составляет кинетическая энергия частицы?
Частица движется со скоростью V = с/3, где с - скорость света в вакууме. Какую долю энергии покоя составляет кинетическая энергия частицы?
Обсуждение
Неизвестный
05.02.2009, 16:53
общий
это ответ
Здравствуйте, Соболев А.С.!
Кинетическая энергия релятивистской частицы T = m0*c^2 * (1 / (sqrt(1-v^2/c^2)) - 1), где m0 - масса покоя. Энергия покоя частицы E0 = m0*c^2. Отсюда получаем отношение T/E0 = 1 / (sqrt(1-v^2/c^2)) - 1.
Подставляя v=c/3, получаем T/E0=0.06. Таким образом, кинетическая энергия частицы составляет 6% энергии покоя.
Кинетическая энергия релятивистской частицы T = m0*c^2 * (1 / (sqrt(1-v^2/c^2)) - 1), где m0 - масса покоя. Энергия покоя частицы E0 = m0*c^2. Отсюда получаем отношение T/E0 = 1 / (sqrt(1-v^2/c^2)) - 1.
Подставляя v=c/3, получаем T/E0=0.06. Таким образом, кинетическая энергия частицы составляет 6% энергии покоя.
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