Pêndulo de Newton

Pêndulo Simples
Pêndulo de Newton
ENEM
O pêndulo de Newton pode ser constituído por cinco pêndulos idênticos suspensos em um mesmo suporte. Em um dado instante, as esferas de três pêndulos são deslocadas para a esquerda e liberadas, deslocando-se para a direita e colidindo elasticamente com as outras duas esferas, que inicialmente estavam paradas.[br][br][br][img]data:image/png;base64,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[/img][br][br]O movimento dos pêndulos após a primeira colisão está representado em:[br]
FMJ
O pêndulo de Newton é constituído por um conjunto de pêndulos, formados por esferas de massas iguais, colocadas lado a lado de modo que tais esferas permaneçam em contato. Na figura está ilustrado um pêndulo de Newton no qual uma das esferas foi elevada até certa altura. Ao se soltar essa esfera, ela desce e se choca com as demais, fazendo com que apenas a esfera da extremidade oposta se movimente.[br][img]data:image/png;base64,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[/img][br]Desprezando-se as forças dissipativas e considerando-se os choques perfeitamente elásticos, durante as colisões, a energia mecânica e a quantidade de movimento do sistema constituído pelo pêndulo de Newton, respectivamente,
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Информация: Pêndulo de Newton