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183_notes:examples:finalloccf [2014/07/11 03:02] – caballero | 183_notes:examples:finalloccf [2014/07/14 17:08] (current) – caballero | ||
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===== Example: Predicting the location of an object undergoing constant force motion ===== | ===== Example: Predicting the location of an object undergoing constant force motion ===== | ||
- | The fan cart in the video below is observed to [[183_notes: | + | The fan cart in the video below is observed to [[183_notes: |
=== Facts ==== | === Facts ==== | ||
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* the force applied by the track (directly upward) | * the force applied by the track (directly upward) | ||
* a frictional forces and air resistance that resist the motion | * a frictional forces and air resistance that resist the motion | ||
- | * The acceleration due to gravity is 9.8 $\dfrac{m}{s^2} and is directed downward. | + | * The acceleration due to gravity is 9.8 $\dfrac{m}{s^2}$ and is directed downward. |
=== Lacking === | === Lacking === | ||
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=== Approximations & Assumptions === | === Approximations & Assumptions === | ||
- | * Over the interval that we care about it, we will assume the net force is doesn' | + | * Over the interval that we care about it, we will assume the net force doesn' |
* As a result, the motion occurs only in the horizontal direction. | * As a result, the motion occurs only in the horizontal direction. | ||
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We can compute this displacement, | We can compute this displacement, | ||
- | Δxcart=(0ms)(2.2s)+120.45N0.3kg(2.2s)2 | + | $$\Delta x_{cart} = (0 \dfrac{m}{s}) (2.2 s) + \dfrac{1}{2}\dfrac{0.45 N}{0.3kg}(2.2s)^2 |