Beban 100 gram digantung bebas pada pegas yang tetapannya 100N/m. Berapa energi potensial elastis pegas jika beban awal ditambah beban lain 0,9kg?
izharulhaq78
![\displaystyle k=100N/m\\g=10m/s^2\\m_1=100g=0,1kg\\m_2=0,9kg\\\\E_p=?\\\\E_p=\frac1{2k}F^2\\E_p=\frac1{2k}(\Sigma mg)^2\\E_p=\frac1{2k}([m_1+m_2]g)^2\\E_p=\frac1{2\times100}([0,1+0,9]10)^2\\E_p=\frac1{2\times100}([1]10)^2\\E_p=\frac1{2\times100}100\\\boxed{\boxed{E_p=0,5J}}](https://tex.z-dn.net/?f=%5Cdisplaystyle+k%3D100N%2Fm%5C%5Cg%3D10m%2Fs%5E2%5C%5Cm_1%3D100g%3D0%2C1kg%5C%5Cm_2%3D0%2C9kg%5C%5C%5C%5CE_p%3D%3F%5C%5C%5C%5CE_p%3D%5Cfrac1%7B2k%7DF%5E2%5C%5CE_p%3D%5Cfrac1%7B2k%7D%28%5CSigma+mg%29%5E2%5C%5CE_p%3D%5Cfrac1%7B2k%7D%28%5Bm_1%2Bm_2%5Dg%29%5E2%5C%5CE_p%3D%5Cfrac1%7B2%5Ctimes100%7D%28%5B0%2C1%2B0%2C9%5D10%29%5E2%5C%5CE_p%3D%5Cfrac1%7B2%5Ctimes100%7D%28%5B1%5D10%29%5E2%5C%5CE_p%3D%5Cfrac1%7B2%5Ctimes100%7D100%5C%5C%5Cboxed%7B%5Cboxed%7BE_p%3D0%2C5J%7D%7D "\displaystyle k=100N/m\\g=10m/s^2\\m_1=100g=0,1kg\\m_2=0,9kg\\\\E_p=?\\\\E_p=\frac1{2k}F^2\\E_p=\frac1{2k}(\Sigma mg)^2\\E_p=\frac1{2k}([m_1+m_2]g)^2\\E_p=\frac1{2\times100}([0,1+0,9]10)^2\\E_p=\frac1{2\times100}([1]10)^2\\E_p=\frac1{2\times100}100\\\boxed{\boxed{E_p=0,5J}}")
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