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Задать вопрос экспертам

Консультация № 200052

07.01.2021, 19:29

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Образование

Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: На кусок льда с линейно уменьшающейся со временем массой действует постоянная сила F. Какое ускорение будет у куска льда, когда он растает наполовину?

Обсуждение

давно

Посетитель
226425
1567

08.01.2021, 00:21

общий

это ответ

Здравствуйте, Dan2206!
Согласно II закону Ньютона, ускорение тела прямопропорционально действующей силе и обратно пропорционально массе тела:
a=F/m
(a и F - сонаправленные векторы)
Это означает, что, при постоянной силе F, к тому моменту времени, когда масса тела уменьшится вдвое (m₁=m_o/2), ускорение тела в 2 раза увеличится.
Док-во:
a_o=F/m_o
m₁=m₀/2
a₁=F/m₁=F/(m_o/2)=2F/m_o=2a_o (ч.т.д.)

Об авторе:
С уважением
shvetski

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