183_notes:escape_speed

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183_notes:escape_speed [2021/04/01 12:36] – [Calculating the Escape Speed] stumptyl183_notes:escape_speed [2021/04/01 12:37] (current) – [Calculating the Escape Speed] stumptyl
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   * Final: $r=\infty$; $v=0$   * Final: $r=\infty$; $v=0$
  
-The [[183_notes:energy_cons|Energy Principle tells you that the energy of this system is conserved]]. Moreover, you know from the final state where $r\rightarrow \infty$ and $v\rightarrow 0$ that both the final potential and final kinetic energies are zero. Hence, the total energy of the system must be zero. +The [[183_notes:energy_cons|Energy Principle tells you that the energy of this system is conserved]]. __Moreover, you know from the final state where $r\rightarrow \infty$ and $v\rightarrow 0$ that both the final potential and final kinetic energies are zero. Hence, the total energy of the system must be zero.__ 
  
 $$\Delta E_{sys} = W_{surr} = 0 \longrightarrow E_{sys,f} = E_{sys,i}$$ $$\Delta E_{sys} = W_{surr} = 0 \longrightarrow E_{sys,f} = E_{sys,i}$$
  • 183_notes/escape_speed.1617280581.txt.gz
  • Last modified: 2021/04/01 12:36
  • by stumptyl