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Здравствуйте! Помогите пожалуйста с вопросом: Во сколько раз изменится объем куба с ребром а = 1 м при движении его вдоль горизонтальной оси параллельной одному из ребер куба со скоростью V = 0,6 с?
В случае движения указанного куба вдоль направления, параллельного одному из рёбер, уменьшится только размер куба вдоль этого направления. Он станет равным величине a' = a√(1 - (v/c)2) = 1 [$149$] √(1 - 0,36) = 0,8 (м). Размеры куба в двух других направлениях не изменятся.
Следовательно, объём куба относительно неподвижной системы отсчёта станет равным V' = 1 [$149$] 1 [$149$] 0,8 = 0,8 (м3) и уменьшится в 1/0,8 = 1,25 раза.
Здравствуйте, Посетитель - 363416! В релятивистской механике при движении тела его продольные размеры уменьшаются в соответствии с уравнением l=l0[$8730$](1-v2/c2) Но при этом изменяются размеры только в одном направлении - направлении движения, размеры же по перпендикулярным данному направлению осям останутся неизменными. Следовательно, объём тела изменится ровно настолько же, насколько изменится длина: V=V0[$8730$](1-v2/c2)=0.8V0
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