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Category: Mechanics

Question-155033

Question Number 155033 by peter frank last updated on 24/Sep/21 Answered by peter frank last updated on 25/Sep/21 $$\mathrm{work}\:\mathrm{done}=\gamma×\bigtriangleup\mathrm{A}=\gamma×\left(\mathrm{A}_{\mathrm{2}} −\mathrm{A}_{\mathrm{1}} \right) \\ $$$$\mathrm{A}_{\mathrm{1}} =\mathrm{4}\pi\mathrm{R}^{\mathrm{2}} \:\:=\mathrm{1}.\mathrm{256}×\mathrm{10}^{−\mathrm{3}}…

A-ball-is-projected-from-a-point-O-with-an-initial-velocity-u-and-angle-with-the-horizontal-ground-Given-that-it-travels-such-that-it-just-clears-two-walls-of-height-h-and-distances-2h-and-4h-fro

Question Number 89319 by Rio Michael last updated on 16/Apr/20 $$\:\mathrm{A}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{projected}\:\mathrm{from}\:\mathrm{a}\:\mathrm{point}\:\mathrm{O}\:\mathrm{with}\:\mathrm{an}\:\mathrm{initial} \\ $$$$\mathrm{velocity}\:{u}\:\mathrm{and}\:\mathrm{angle}\:\theta\:\mathrm{with}\:\mathrm{the}\:\mathrm{horizontal}\:\mathrm{ground}. \\ $$$$\:\mathrm{Given}\:\mathrm{that}\:\mathrm{it}\:\mathrm{travels}\:\mathrm{such}\:\mathrm{that}\:\mathrm{it}\:\mathrm{just}\:\mathrm{clears}\:\mathrm{two}\:\mathrm{walls} \\ $$$$\mathrm{of}\:\mathrm{height}\:{h}\:\mathrm{and}\:\mathrm{distances}\:\mathrm{2}{h}\:\mathrm{and}\:\mathrm{4}{h}\:\mathrm{from}\:\mathrm{O}\:\mathrm{respectively}. \\ $$$$\left(\mathrm{a}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{tangent}\:\mathrm{of}\:\mathrm{the}\:\mathrm{angle}\:\theta \\ $$$$\:\left(\mathrm{b}\right)\:\mathrm{The}\:\mathrm{time}\:\mathrm{of}\:\mathrm{flight}\:\mathrm{of}\:\mathrm{the}\:\mathrm{ball} \\ $$$$\left(\mathrm{c}\right)\:\mathrm{The}\:\mathrm{range}\:\mathrm{of}\:\mathrm{the}\:\mathrm{ball}. \\ $$…