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Консультация № 200609
09.04.2021, 20:25
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
Тонкий однородный диск массы m и радиуса R скатывается без проскальзывания с горки высоты h, совершая плоское движение. Начальная скорость центра масс диска равна V0 . Во сколько раз увеличилась кинетическая энергия диска после того, как он скатится с горки. Сопротивлением воздуха пренебречь. m = 3 кг, R = 4 м, V0 = 5 м/с, h = 6 м, g = 10 м/с.
а) 2,2 раза; б) 4,2 раза; в) 6,2 раза; г) 8,2 раза; д) 10,2 раза;
Тонкий однородный диск массы m и радиуса R скатывается без проскальзывания с горки высоты h, совершая плоское движение. Начальная скорость центра масс диска равна V0 . Во сколько раз увеличилась кинетическая энергия диска после того, как он скатится с горки. Сопротивлением воздуха пренебречь. m = 3 кг, R = 4 м, V0 = 5 м/с, h = 6 м, g = 10 м/с.
а) 2,2 раза; б) 4,2 раза; в) 6,2 раза; г) 8,2 раза; д) 10,2 раза;
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Обсуждение
11.04.2021, 08:15
общий
это ответ
Здравствуйте, Дмитрий!
Предлагаю Вам следующее решение задачи.
Дано:
кг -- масса диска; 
м -- радиус диска; 
м/с -- начальная скорость центра масс диска; 
м -- высота горки, с которой скатывается диск; 
м/с -- принятое значение ускорения свободного падения.
Определить:
-- отношение кинетических энергий диска после и до скатывания с горки.
До скатывания с горки диск обладает кинетической энергией
и потенциальной энергией (относительно уровня, на котором окажется центр масс диска после скатывания с горки)
Его механическая энергия составляет
После скатывания с горки диск обладает нулевой потенциальной энергией. Его механическая энергия равна кинетической
. По закону сохранения механической энергии имеем
Ответ:
то есть кинетическая энергия диска после скатывания с горки увеличится в 
раза.
Предлагаю Вам следующее решение задачи.
Дано:
кг -- масса диска; м -- радиус диска; м/с -- начальная скорость центра масс диска; м -- высота горки, с которой скатывается диск; м/с -- принятое значение ускорения свободного падения.Определить:
-- отношение кинетических энергий диска после и до скатывания с горки.Решение
До скатывания с горки диск обладает кинетической энергией
и потенциальной энергией (относительно уровня, на котором окажется центр масс диска после скатывания с горки)
Его механическая энергия составляет
После скатывания с горки диск обладает нулевой потенциальной энергией. Его механическая энергия равна кинетической
. По закону сохранения механической энергии имеемОтвет:
то есть кинетическая энергия диска после скатывания с горки увеличится в раза.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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