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Both sides previous revision Previous revision Next revision | Previous revision Next revisionBoth sides next revision | ||
183_notes:examples:sliding_to_a_stop [2014/09/22 04:29] – pwirving | 183_notes:examples:sliding_to_a_stop [2014/09/22 04:33] – pwirving | ||
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$ (F_N - mg) \Delta t = 0 $ | $ (F_N - mg) \Delta t = 0 $ | ||
- | $ F_N \Delta t - mg \Delta t = 0 \, | + | Multiply out |
- | $ F_N \Delta t = mg \Delta t | + | $ F_N \Delta t - mg \Delta t = 0 $ |
- | $ F_N = mg \, | + | Make equal to each other |
- | Combining these two equations and substituting in mg for F_N and writing $ p_x = mv_x $, we get the following equation: | + | $ F_N \Delta t = mg \Delta t $ |
+ | |||
+ | Cancel $\Delta t$ | ||
+ | |||
+ | $ F_N = mg $ | ||
+ | |||
+ | Combining these two equations and substituting in mg for $F_N$ and writing $ p_x = \Delta(mv_x) $, we get the following equation: | ||
$ \Delta(mv_x) = -mg\Delta t $ | $ \Delta(mv_x) = -mg\Delta t $ |