TAKEN-FROM-REAL-LIFE-if-I-try-to-walk-into-a-shop-through-a-super-clean-closed-glass-door-and-get-myself-a-bloody-nose-then-what-s-the-value-of-the-brake-acceleration-when-we-assume-1-my-walking-spee

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Question Number 161194 by MJS_new last updated on 14/Dec/21

$$\mathbb{TAKEN}\mathbb{FROM}\mathbb{REAL}\mathbb{LIFE}$$$$\mathrm{if}\mathrm{I}\mathrm{try}\mathrm{to}\mathrm{walk}\mathrm{into}\mathrm{a}\mathrm{shop}\mathrm{through}\mathrm{a}\mathrm{super}$$$$\mathrm{clean}\mathrm{closed}\mathrm{glass}\mathrm{door}\mathrm{and}\mathrm{get}\mathrm{myself}\mathrm{a}$$$$\mathrm{bloody}\mathrm{nose}\mathrm{then}{\mathrm{what}}^{\prime }\mathrm{s}\mathrm{the}\mathrm{value}\mathrm{of}\mathrm{the}$$$$\mathrm{brake}\mathrm{acceleration}\mathrm{when}\mathrm{we}\mathrm{assume}$$$$1)\mathrm{my}\mathrm{walking}\mathrm{speed}\mathrm{is}7\mathrm{km}/\mathrm{hr}$$$$2)\mathrm{the}\mathrm{crumple}\mathrm{zone}\mathrm{of}\mathrm{my}\mathrm{nose}\mathrm{is}1/2^{″}$$$$3)\mathrm{the}\mathrm{brake}\mathrm{acceleration}\mathrm{is}\mathrm{constant}$$

Commented by mr W last updated on 14/Dec/21

$$a=\frac{v^2}{2s}$$$$v=7kmh=\frac{7}{3.6}m/s$$$$s=1/2^{″}=\frac{0.054}{2}m$$$$a=70m/s^2\approx 7g$$

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