1. Водитель автомобиля начал торможение, когда находился на расстоянии 200 м от заправочной станции и двигался к ней со скоростью 20 м/с. Какой должна быть сила торможения, чтобы автомобиль массой 1 т остановился около станции?
Дано:
м
м/с
т 
кг
Найти: 
Решение. Направим горизонтальную ось 
в сторону торможения автомобиля. Перейдем от проекций к модулям:
Тогда 
откуда 
Применим второй закон Ньютона: 
Определим значение искомой величины:
ответ: 1 кН
2. Сани движутся по горизонтальной дороге с начальной скоростью 5 м/с, коэффициент трения при этом равен 0,1. Найдите путь, который сани за 3 с.
Дано:
м/с
м/с²
Найти: 
Решение. Направим горизонтальную ось в сторону движения саней. Перейдем от проекций к модулям:
Тогда 
откуда 
Найдем 
Применим второй закон Ньютона: 
Сила трения: 
Поскольку 
, то
Таким образом, 
Определим значение искомой величины:
м
ответ: 19,5 м.
3. Автобус массой 10 т, двигаясь с места, развил на пути 50 м скорость 10 м/с. Найдите коэффициент трения, если сила тяги равна 14 кН.
Дано:
т 
кг
м
м/с
кН 
м/с²
Найти: 
Решение. Направим горизонтальную ось в сторону движения автобуса. Перейдем от проекций к модулям:
Тогда 
, откуда 
Применим второй закон Ньютона: 
Перейдем от векторов к модулям:
Определим значение искомой величины:
ответ: 0,04.
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