183_notes:mp_multi

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183_notes:mp_multi [2021/04/01 01:40] – [Multi-particle Systems] stumptyl183_notes:mp_multi [2021/04/01 01:50] (current) – [The Momentum Principle for Multiple Particles] stumptyl
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 $$\dfrac{\Delta \vec{p}}{\Delta t} = \vec{F}_{net}$$ $$\dfrac{\Delta \vec{p}}{\Delta t} = \vec{F}_{net}$$
  
-As you have read, the rate of change of the momentum for a single particle is due to the interactions that the object has with its surroundings -- these interactions add to give rise to a net //external// force. The word external is key because the interactions must be outside the system of the single object. //An object cannot exert forces on itself in ways to change its own momentum.//+As you have read, the rate of change of the momentum for a single particle is due to the interactions that the object has with its surroundings -- these interactions add to give rise to a net //external// force. The word external is key because the interactions must be outside the system of the single object. //**An object cannot exert forces on itself in ways to change its own momentum.**//
  
-In a multi-particle system, objects within the system interact with each other and exert forces on each other. However, the total momentum of the system can only change due to //external// forces. The momentum principle for a multi-particle system states that the change in the system's momentum ($\Delta \vec{p}_{sys}$) arises from interactions with the system's surroundings ($\vec{F}_{surr}\Delta t$):+In a multi-particle system, objects within the system interact with each other and exert forces on each other. However, the total momentum of the system can only change due to __external forces__. The momentum principle for a multi-particle system states that the change in the system's momentum ($\Delta \vec{p}_{sys}$) arises from interactions with the system's surroundings ($\vec{F}_{surr}\Delta t$):
  
 $$\Delta \vec{p}_{sys} = \vec{F}_{surr}\Delta t$$ $$\Delta \vec{p}_{sys} = \vec{F}_{surr}\Delta t$$
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  • by stumptyl