Febrianurwahyu: Energi dan masa Relativitas

Kamis, Agustus 11, 2011

Energi dan masa Relativitas

Energi dan Massa Relativitas

Einstein

$E=mc^2$

Energi dan Massa Relativitas

Energi dan Massa Relativitas

$E=Delta mc^2$

$E=K=frac {1}{2}mv^2$

$(m-m_0)c^2=frac {1}{2}mv^2rightarrow$ dikali $frac {m}{m}$

$(m-m_0)c^2=frac {m^2v^2}{2m}$

Jika V << (kecil sekali), maka $2m=m+m_0$

$(m-m_0)c^2=frac {m^2v^2}{m+m_0}$

$(m+m_0)(m-m_0)c^2=m^2v^2$

$(m^2-m_0^2)c^2=m^2v^2$

$m^2c^2-m_0^2c^2=m^2v^2$

$m_0^2c^2=m^2c^2-m^2v^2$

$m_0^2c^2=m^2(c^2-v^2)$

$m_0^2=frac {m^2(c^2-v^2)}{c^2}$

$m_0^2=m^2(1-frac {v^2}{c^2})$

$m^2=frac {m_0^2}{(1-frac {v^2}{c^2})}$

$m^2=frac {m_0^2}{(1-beta ^2)}$

$m=frac {m_0}{(1-beta ^2)^{frac {1}{2}}}$

$K=frac {1}{2}m_0v^2=m_0c^2(frac {1}{2}frac {v^2}{c^2})$

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