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183_notes:acceleration [2014/07/10 20:51] – caballero | 183_notes:acceleration [2021/02/04 23:19] – [Newton's Second Law] stumptyl | ||
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==== Newton' | ==== Newton' | ||
- | The Momentum Principle (or Newton' | + | The Momentum Principle (or Newton' |
$$\vec{F}_{net} = m\:\vec{a} = \dfrac{\Delta\vec{p}}{\Delta t}$$ | $$\vec{F}_{net} = m\:\vec{a} = \dfrac{\Delta\vec{p}}{\Delta t}$$ | ||
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$$\vec{a} = \dfrac{\Delta\vec{p}}{m\: | $$\vec{a} = \dfrac{\Delta\vec{p}}{m\: | ||
- | where the last two equals signs hold only if the mass of the system is not changing. | + | __//where the last two equals signs hold only if the mass of the system is not changing. |
+ | //__ | ||
==== Acceleration ==== | ==== Acceleration ==== | ||
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The units of acceleration are meters per second per second ($\dfrac{m}{s^2}$). | The units of acceleration are meters per second per second ($\dfrac{m}{s^2}$). | ||
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+ | ==== Why not just use change in momentum? ==== | ||
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+ | If you have one way of describing motion (i.e., using the concept of a change in momentum), why should you learn about acceleration? | ||
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+ | Acceleration is a useful concept in mechanics, because it can help characterize the motion of systems (e.g., constant velocity motion has no acceleration). | ||
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+ | While you can obtain this information by determining the forces acting on the system, it's possible to use observational information (how the position changes) to determine how the system is accelerating without knowing the system' | ||