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Задать вопрос экспертам

Консультация № 173594

23.10.2009, 09:52

0.00 руб.

0 2 1

Образование

Здравствуйте, уважаемые эксперты! Помогите, пожалуйста, решить задачу:

Неподвижный снаряд разорвался в воздухе на четыре осколка. Осколки массами m1=3кг, m2=2кг, m3=4кг полетели соответственно со скоростями v1=200м/с вертикально вверх, v2=150м/с горизонтально на север и v3=100 м/с горизонтально на восток. Под каким углом к горизонту полетел четвёртый осколок?

Обсуждение

Неизвестный

23.10.2009, 10:15

общий

Хороший снаряд, советский, наверно.
Таки просто все - закон сохранения импульса

давно

Мастер-Эксперт
226425
1567

23.10.2009, 11:32

общий

это ответ

Здравствуйте, Болдырев Тимофей.

Согласно закону сохранения импульса
m₁v[sub]1[/sub]+m₂v[sub]2[/sub]+m₃v[sub]3[/sub]+m₄v[sub]4[/sub]=0 (векторная сумма)
Тогда в проекциях на оси координат:
ох: m₃v₃-m₄v₄=0 [$8658$] v_4x=m₃v₃/m₄
Аналогично:
оу: [$8658$] v_4у=m₂v₂/m₄
оz: [$8658$] v_4z=m₁v₁/m₄

Тогда v₄=[$8730$](v_4x²+v_4y²+v_4z²)=(1/m₄)[$8730$][(m₁v₁)²+(m₂v₂)²+(m₃v₃)²]

Тогда sin[$966$]=v_4z/v₄=m₁v₁/[$8730$][(m₁v₁)²+(m₂v₂)²+(m₃v₃)²]=07682

[$8658$] [$966$]~50[$186$]

Удачи

5

Прикольный рисунок

Спасибо большое!

Об авторе:
С уважением
shvetski

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