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Консультация № 190885
17.04.2017, 00:46
0.00 руб.
17.04.2017, 16:14
1
1
1
Здравствуйте,уважаемые эксперты! У меня возникли сложности со следующим вопросом:
Под каким углом [$945$] к горизонту брошен камень, если за время полёта от старта до наивысшей точки траектории радиус кривизны уменьшается в 27 раз?
Под каким углом [$945$] к горизонту брошен камень, если за время полёта от старта до наивысшей точки траектории радиус кривизны уменьшается в 27 раз?
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Обсуждение
17.04.2017, 16:11
общий
это ответ
Здравствуйте, moonfox!
При движении с мгновенной скоростью v и нормальным ускорением aн радиус кривизны R=v2/aн
Пренебрегая сопротивлением воздуха,
горизонтальная составляющая скорости постоянна vx=const и в начальный момент v0=vx/cos[$945$], а в верхней точке v1=vx
полное ускорение равно ускорению свободного падения, его нормальная составляющая в начальный момент aн0=g[$183$]cos[$945$], а в верхней точке aн1=g
отношение радиусов кривизны
R0/R1=(v0/v1)2[$183$]aн1/aн0=((vx/cos[$945$])/vx)2[$183$]g/(g[$183$]cos[$945$])=1/cos3[$945$]=27
cos[$945$]=1/3
[$945$]=acos(1/3)[$8776$]1.231 рад=70,53[$176$]
При движении с мгновенной скоростью v и нормальным ускорением aн радиус кривизны R=v2/aн
Пренебрегая сопротивлением воздуха,
горизонтальная составляющая скорости постоянна vx=const и в начальный момент v0=vx/cos[$945$], а в верхней точке v1=vx
полное ускорение равно ускорению свободного падения, его нормальная составляющая в начальный момент aн0=g[$183$]cos[$945$], а в верхней точке aн1=g
отношение радиусов кривизны
R0/R1=(v0/v1)2[$183$]aн1/aн0=((vx/cos[$945$])/vx)2[$183$]g/(g[$183$]cos[$945$])=1/cos3[$945$]=27
cos[$945$]=1/3
[$945$]=acos(1/3)[$8776$]1.231 рад=70,53[$176$]
5
Спасибо!)
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