Energia mecânica
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PiR2 :: Física :: Mecânica Geral
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Energia mecânica
(FMABC 2020)
Em um local em que a aceleração gravitacional é igual a g, pendura-se um objeto de massa m em uma mola de constante elástica k e de comprimento L 0 , de modo que a mola sofre uma distensão x 1 . Em seguida, puxa-se o objeto para baixo, até que a mola se distenda de um valor x 2 , em relação ao seu comprimento original, L 0 .
![Energia mecânica 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)
Considerando que não haja perda de energia mecânica, ao se soltar o objeto quando a mola está distendida de x2 , ele passa pelo ponto em que a mola tem distensão igual a x 1 com energia cinética igual a
A) [latex]\frac{K(x2^2- x1^2)}{2} + mg(x2 -x1)[/latex]
B) [latex]\frac{K(x2^2- x1^2)}{2} - mg(x2 -x1)[/latex]
C) [latex]\frac{K(x2- x1)}{2} - mg(x2 -x1)[/latex]
D) [latex]\frac{Kx2^2}{2} + mgx1[/latex]
E) [latex]\frac{Kx2^2}{2} - mgx1[/latex]
Detalhe: os números um e dois, ao lado do x, se referem à x1 ou X2
Gabarito: B
Oi pessoal! Eu marquei o item (e), porém não entendi o erro. Peço-lhes que corrijam o meu raciocínio.
Emecânica A = Emecânica B
[latex]\frac{Kx2^2}{2}[/latex] = mgx1 + Ecinética
Portanto, Ecinética = [latex]\frac{K.x2^{2}}{2}[/latex] - mgx1
Em um local em que a aceleração gravitacional é igual a g, pendura-se um objeto de massa m em uma mola de constante elástica k e de comprimento L 0 , de modo que a mola sofre uma distensão x 1 . Em seguida, puxa-se o objeto para baixo, até que a mola se distenda de um valor x 2 , em relação ao seu comprimento original, L 0 .
Considerando que não haja perda de energia mecânica, ao se soltar o objeto quando a mola está distendida de x2 , ele passa pelo ponto em que a mola tem distensão igual a x 1 com energia cinética igual a
A) [latex]\frac{K(x2^2- x1^2)}{2} + mg(x2 -x1)[/latex]
B) [latex]\frac{K(x2^2- x1^2)}{2} - mg(x2 -x1)[/latex]
C) [latex]\frac{K(x2- x1)}{2} - mg(x2 -x1)[/latex]
D) [latex]\frac{Kx2^2}{2} + mgx1[/latex]
E) [latex]\frac{Kx2^2}{2} - mgx1[/latex]
Detalhe: os números um e dois, ao lado do x, se referem à x1 ou X2
Gabarito: B
Oi pessoal! Eu marquei o item (e), porém não entendi o erro. Peço-lhes que corrijam o meu raciocínio.
Emecânica A = Emecânica B
[latex]\frac{Kx2^2}{2}[/latex] = mgx1 + Ecinética
Portanto, Ecinética = [latex]\frac{K.x2^{2}}{2}[/latex] - mgx1
Última edição por O Reype mito em Sex 26 Jul 2024, 13:55, editado 2 vez(es) (Motivo da edição : correção)
O Reype mito- Recebeu o sabre de luz
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Re: Energia mecânica
Variação da energia potencial da mola devido à força exercida para baixo:
EpF = k.x2²/2 - k.x1²/² = k.(x² - x1)²/2
Variação da energia potencial da mola devido ao peso P = m.g ---> EpP = m.g.(x2 - x1)
Ec = EpT - EpP ---> Ec = k.(x2² - x1)²/2 - m.g.(x2 - x1)
EpF = k.x2²/2 - k.x1²/² = k.(x² - x1)²/2
Variação da energia potencial da mola devido ao peso P = m.g ---> EpP = m.g.(x2 - x1)
Ec = EpT - EpP ---> Ec = k.(x2² - x1)²/2 - m.g.(x2 - x1)
Elcioschin- Grande Mestre
- Mensagens : 72743
Data de inscrição : 15/09/2009
Idade : 78
Localização : Santos/SP
O Reype mito gosta desta mensagem
Re: Energia mecânica
Mestre Elcioschin, agora eu consegui entender a razão de utilizar a variação da energia potencial elástica. No entanto, ainda não compreendo porque m.g.x1 está incorreto, pode me explicar porquê?Elcioschin escreveu:Variação da energia potencial da mola devido à força exercida para baixo:
EpF = k.x2²/2 - k.x1²/² = k.(x² - x1)²/2
Variação da energia potencial da mola devido ao peso P = m.g ---> EpP = m.g.(x2 - x1)
Ec = EpT - EpP ---> Ec = k.(x2² - x1)²/2 - m.g.(x2 - x1)
O Reype mito- Recebeu o sabre de luz
- Mensagens : 110
Data de inscrição : 17/09/2022
Re: Energia mecânica
Porque m.g.x1 é apenas o trabalho da força peso sobre a mola, estando a mola parada e esticada de x1
Acontece que entrou em cena uma força extra que esticou a mola, aumentando a energia potencial do sistema e implicando na energia cinética. E vc não levou isto em consideração.
Acontece que entrou em cena uma força extra que esticou a mola, aumentando a energia potencial do sistema e implicando na energia cinética. E vc não levou isto em consideração.
Elcioschin- Grande Mestre
- Mensagens : 72743
Data de inscrição : 15/09/2009
Idade : 78
Localização : Santos/SP
O Reype mito gosta desta mensagem
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