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Question Number 19140 by Tinkutara last updated on 05/Aug/17

$$\mathrm{A}\mathrm{racing}\mathrm{car}\mathrm{travels}\mathrm{on}\mathrm{a}\mathrm{track}(\mathrm{without}$$$$\mathrm{banking})ABCDEFA.ABC\mathrm{is}\mathrm{a}\mathrm{circular}$$$$\mathrm{arc}\mathrm{of}\mathrm{radius}2R.CD\mathrm{and}FA\mathrm{are}$$$$\mathrm{straight}\mathrm{paths}\mathrm{of}\mathrm{length}R\mathrm{and}DEF\mathrm{is}$$$$\mathrm{a}\mathrm{circular}\mathrm{arc}\mathrm{of}\mathrm{radius}R=100\mathrm{m}.\mathrm{The}$$$$\mathrm{co}-\mathrm{efficient}\mathrm{of}\mathrm{friction}\mathrm{on}\mathrm{the}\mathrm{road}\mathrm{is}\mu =$$$$0.1.\mathrm{The}\mathrm{maximum}\mathrm{speed}\mathrm{of}\mathrm{the}\mathrm{car}\mathrm{is}$$$$50{\mathrm{ms}}^{-1}.\mathrm{Find}\mathrm{the}\mathrm{minimum}\mathrm{time}\mathrm{for}$$$$\mathrm{completing}\mathrm{one}\mathrm{round}.$$

Commented by Tinkutara last updated on 06/Aug/17

$${\mathrm{Don}}^{\prime }\mathrm{t}\mathrm{we}\mathrm{neglect}\mathrm{such}\mathrm{processes}\mathrm{in}$$$$\mathrm{physics}?$$

Commented by Tinkutara last updated on 05/Aug/17

Commented by Tinkutara last updated on 06/Aug/17

$$\mathrm{I}{\mathrm{don}}^{\prime }\mathrm{t}\mathrm{know}\mathrm{Sir}.\mathrm{I}\mathrm{am}\mathrm{reading}\mathrm{this}\mathrm{from}$$$$\mathrm{a}\mathrm{book}\mathrm{and}\mathrm{it}\mathrm{has}\mathrm{solution}\mathrm{in}\mathrm{it}.\mathrm{Should}$$$$\mathrm{I}\mathrm{post}\mathrm{it}?$$

Commented by ajfour last updated on 06/Aug/17

$$\mathrm{has}\mathrm{it}\mathrm{to}\mathrm{come}\mathrm{to}\mathrm{stop}\mathrm{and}\mathrm{can}\mathrm{i}$$$$\mathrm{choose}\mathrm{starting}\mathrm{point}\mathrm{on}\mathrm{my}\mathrm{own}?$$$$$$

Commented by ajfour last updated on 06/Aug/17

$$\mathrm{yes},\mathrm{post}\mathrm{it}.\mathrm{thanks}.$$

Commented by Tinkutara last updated on 06/Aug/17

Commented by Tinkutara last updated on 06/Aug/17

Commented by ajfour last updated on 06/Aug/17

$$\mathrm{this}\mathrm{is}\mathrm{even}\mathrm{wrong},\mathrm{since}\mathrm{no}\mathrm{time}$$$$\mathrm{is}\mathrm{included}\mathrm{to}\mathrm{change}\mathrm{speed}.$$

Commented by ajfour last updated on 06/Aug/17

$$\mathrm{not}\mathrm{after}\mathrm{class}\mathrm{X}.$$

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