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| 183_notes:energy_sep [2015/10/13 15:02] – [The Total Kinetic Energy of a System is the Sum of All Its Parts] caballero | 183_notes:energy_sep [2018/05/29 21:50] – hallstein | ||
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| + | Section 9.1 in Matter and Interactions (4th edition) | ||
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| ===== Separating Energy in Multi-Particle Systems ===== | ===== Separating Energy in Multi-Particle Systems ===== | ||
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| $$U_{atom} = m_{atom}gy_{atom}$$ | $$U_{atom} = m_{atom}gy_{atom}$$ | ||
| - | Those that are higher up will share more potential energy with the Earth than those lower to the ground. Those that are at the same height but different horizontal positions experience the same potential energy.((This argument requires all atoms to have the same mass, but van be extended to more general systems without loss of generality.)) | + | Those that are higher up will share more potential energy with the Earth than those lower to the ground. Those that are at the same height but different horizontal positions experience the same potential energy.((This argument requires all atoms to have the same mass, but can be extended to more general systems without loss of generality.)) |
| If we consider a column of such atoms, that extends up some vertical height. The total potential energy associated with this column is given by the sum of the contributions due to each of the atoms, | If we consider a column of such atoms, that extends up some vertical height. The total potential energy associated with this column is given by the sum of the contributions due to each of the atoms, | ||