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| 183_notes:energy_sep [2021/04/17 17:32] – [Separating the Total Kinetic Energy in a Multi-Particle System] stumptyl | 183_notes:energy_sep [2021/06/02 23:25] (current) – [Twirling a Baton] stumptyl |
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| ===== The Total Kinetic Energy of a System is the Sum of All Its Parts ===== | ===== The Total Kinetic Energy of a System is the Sum of All Its Parts ===== |
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| [{{ 183_notes:pp_vs_real.001.png?300|Atoms (red circles) on either side of the center of a twirled baton have the same speed.}}] | [{{ 183_notes:week10_separation1.png?300|Atoms (red circles) on either side of the center of a twirled baton have the same speed.}}] |
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| This might seem obvious to you, but you should realize that the// total kinetic energy of any multi-particle system is the sum of all the individual kinetic energies of the particles or objects that make up the system//.// __The only caveat is that the velocity of all the constituent particles must be measured in the [[183_notes:relative_motion#relative_motion|same frame of reference]].__// Otherwise, we would get different speeds for each particle depending on its relative motion in the different frames. | This might seem obvious to you, but you should realize that the// total kinetic energy of any multi-particle system is the sum of all the individual kinetic energies of the particles or objects that make up the system//.// __The only caveat is that the velocity of all the constituent particles must be measured in the [[183_notes:relative_motion#relative_motion|same frame of reference]].__// Otherwise, we would get different speeds for each particle depending on its relative motion in the different frames. |
| ==== Twirling a Baton ==== | ==== Twirling a Baton ==== |
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| [{{ 183_notes:pp_vs_real.002.png?400|Atoms (red circles) on either side of the center of a twirled and tossed baton have different speeds. }}] | [{{ 183_notes:week10_separation2.png?400|Atoms (red circles) on either side of the center of a twirled and tossed baton have different speeds. }}] |
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| Consider a baton that is being twirled in a circle in someone's hand. As the baton is twirled, each atom in the baton moves in a circle at a speed that depends on how far the atom is from the center of the baton. You could add up all the individual velocities of the atoms to get the total kinetic energy of the baton. This is fairly simple (but painful) to do. The kinetic energy of atoms on either side of the center (but at the same distance from it) has the same kinetic energy because they move at the same speed. | Consider a baton that is being twirled in a circle in someone's hand. As the baton is twirled, each atom in the baton moves in a circle at a speed that depends on how far the atom is from the center of the baton. You could add up all the individual velocities of the atoms to get the total kinetic energy of the baton. This is fairly simple (but painful) to do. The kinetic energy of atoms on either side of the center (but at the same distance from it) has the same kinetic energy because they move at the same speed. |