Задача №27.22

Условие

Тело падает в воздухе без начальной скорости. Сопротивление воздуха R=k2pv2, где v — величина скорости тела, p — вес тела. Какова будет скорость тела по истечении времени t после начала движения? Каково предельное значение скорости?

Решение




Предыдущая задача №21
Корабль массы 107 кг движется со скоростью 16 м/с. Сопротивление воды пропорционально квадрату скорости корабля и равно 3*105 Н при скорости 1 м/с. Какое расстояние пройдет корабль, прежде чем скорость его станет равной 4 м/с? За какое время корабль пройдет это расстояние?
Следующая задача №23
Корабль массы 1,5*106 кг преодолевает сопротивление воды, равное R=αv2 Н, где v — скорость корабля в м/с, а α — постоянный коэффициент, равный 1200. Сила упора винтов направлена по скорости в сторону движения и изменяется по закону T=1,2*106(1-v/33) Н. Найти зависимость скорости корабля от времени, если начальная скорость равна v0 м/с.
Источник: Решебник Мещерского 12 класс
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1.1
1.2
1.3
1.4
1.5
2.1
2.2
2.3
2.4
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3.1
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4.1
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5.1
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6.1
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8.1
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9.1
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10.1
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11.1
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12.1
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17.1
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18.1
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19.1
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20.1
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23.1
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24.1
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25.1
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26.1
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27.1
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28.1
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29.1
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30.1
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31.1
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32.1
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32.107
33.1
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34.1
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35.1
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36.1
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37.1
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38.1
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39.1
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40.1
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41.1
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42.1
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43.1
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44.1
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45.3
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46.1
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47.1
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48.1
48.5
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48.49
49.1
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53.5
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54.1
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55.2
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56.3
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56.9
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