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Задать вопрос экспертам

Консультация № 173891

01.11.2009, 16:30

0.00 руб.

0 1 1

Образование

Уважаемые эксперты,требуется ваша помощь.

Какую работу необходимо совершить, чтобы увеличить скорость частицы с массой покоя m0 от 0,6 с до 0,8 с?

К ободу диска массой m=5 кг приложена постоянная касательная сила F=2 Н. Какую кинетическую энергию будет иметь диск через t=5 с после начала действия силы?

Прошу помощи,ибо завал в универе.

Обсуждение

давно

Посетитель
226425
1567

01.11.2009, 20:13

общий

это ответ

Здравствуйте, Горбунов Кирилл Дмитриевич.
По первой задаче
Работа равна изменению кинетической энергии
A=[$916$]E_K=E_K-E_K0
Кинетическая энергия
E_K=1/2 mv²
Масса частицы
m=m₀/[$8730$](1-v²/c²)
Скорость
v=0,8c
v₀=0,6c
Тогда
A=1/2((0.64/0.6 m₀c²)-(0.36/0.8 m₀c²))=1/2(1.067-0.45)m₀c²=0.31m₀c²

По второй задаче
Видимо, следует предположить, что диск вращается вокруг неподвижной оси.
Дано:
m=5 кг
F=2 H
t=5c
Найти:
E_K
Решение:
Кинетическая энергия вращения
E_K=1/2(J[$969$]²) (1)
момент инерции диска
J=1/2(mR²) (2)
Угловая скорость
[$969$]=et (3), где е - угловое ускорение;
Основной закон динамики вращательного движения
M=et [$8658$] e=M/J=FR/(1/2mR²)=2F/mR (4)
Подставим (4) в (3)
[$969$]=2Ft/mR (5)
Подставим (2) и (5) в (1)
E_K=F²*t²/m = 20 Дж

Удачи

5

спасибо большое)

Об авторе:
С уважением
shvetski

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