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183_notes:examples:deer_slug_example [2014/09/26 04:28] – pwirving | 183_notes:examples:deer_slug_example [2014/09/26 05:06] – pwirving | ||
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=== Lacking === | === Lacking === | ||
+ | |||
+ | $\vec{F}_{net}$ on shoulder | ||
=== Approximations & Assumptions === | === Approximations & Assumptions === | ||
+ | |||
+ | ${\Delta t} \longrightarrow | ||
+ | |||
+ | $\vec{V}_{Slug} \longrightarrow 500m/s$ This is a conservative estimate based on an internet search. | ||
+ | |||
=== Representations === | === Representations === | ||
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Surroundings: | Surroundings: | ||
- | $$\vec{F}_{net} = \dfrac{\Delta\vec{p}}{\Delta t}$$ | + | {{183_notes: |
+ | |||
+ | $\vec{F}_{net} = \dfrac{\Delta\vec{p}}{\Delta t}$ | ||
+ | |||
+ | $\vec{p}_{sys, | ||
+ | |||
+ | $\vec{p}_{1, | ||
+ | |||
+ | $m_1\vec{v}_{1, | ||
=== Solution === | === Solution === | ||
+ | |||
+ | ${\Delta p_x} = 0$ | ||
+ | |||
+ | $P_{tot,x} = 0$ | ||
+ | |||
+ | Because | ||
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+ | $P_{tot, | ||
+ | |||
+ | $0 = M_G * V_G + m_S * V_S \longrightarrow M_G * V_G$ is negative and $m_S * V_S$ is positive | ||
+ | |||
+ | $V_G = {\dfrac{-m_s}{M_G}} V_S$ | ||
+ | |||
+ | $V_G = - {\dfrac{0.22kg}{3.5kg}}{500m/ | ||
+ | |||
+ | Need to find what kind of force that is on your shoulder. | ||
+ | |||
+ | $\vec{F}_{net} = \dfrac{\Delta\vec{p}}{\Delta t}$ | ||
+ | |||
+ | $\vec{F}_{net} =\dfrac{(3.5kg)(-31.4m/ | ||
+ | |||
+ | $\vec{F}_{net} = 2637.6N$ (at least) | ||
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+ | |||
+ | |||
+ |