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A-20-kg-box-is-released-from-the-top-of-an-inclined-plane-that-is-5-m-long-and-makes-an-angle-of-20-to-the-horizontal-A-60N-friction-force-impedes-the-motion-of-the-box-How-long-will-it-take-to-re

Question Number 14999 by tawa tawa last updated on 06/Jun/17 $$\mathrm{A}\:\mathrm{20}\:\mathrm{kg}\:\mathrm{box}\:\mathrm{is}\:\mathrm{released}\:\mathrm{from}\:\mathrm{the}\:\mathrm{top}\:\mathrm{of}\:\mathrm{an}\:\mathrm{inclined}\:\mathrm{plane}\:\mathrm{that}\:\mathrm{is}\:\mathrm{5}\:\mathrm{m}\:\mathrm{long}\:\mathrm{and} \\ $$$$\mathrm{makes}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{20}°\:\mathrm{to}\:\mathrm{the}\:\mathrm{horizontal}.\:\mathrm{A}\:\mathrm{60N}\:\mathrm{friction}\:\mathrm{force}\:\mathrm{impedes}\:\mathrm{the}\:\mathrm{motion}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{box}\:.\:\mathrm{How}\:\mathrm{long}\:\mathrm{will}\:\mathrm{it}\:\mathrm{take}\:\mathrm{to}\:\mathrm{reach}\:\mathrm{the}\:\mathrm{bottom}\:\mathrm{of}\:\mathrm{the}\:\mathrm{box}. \\ $$ Answered by sandy_suhendra last updated on 06/Jun/17 Commented…

dx-1-x-

Question Number 80515 by M±th+et£s last updated on 03/Feb/20 $$\int\frac{{dx}}{\left(\mathrm{1}+{x}^{\phi} \right)^{\phi} } \\ $$ Commented by john santu last updated on 04/Feb/20 $${t}\:=\:\mathrm{1}+{x}^{\phi} \:\Rightarrow{x}=\left({t}−\mathrm{1}\right)^{\frac{\mathrm{1}}{\phi}} \\…

Given-that-7-k-1-mod-15-a-Write-down-three-values-of-k-b-Find-the-general-solution-of-the-equation-7-k-1-mod-15-

Question Number 80505 by Rio Michael last updated on 03/Feb/20 $$\mathrm{Given}\:\mathrm{that}\:\:\mathrm{7}^{{k}} \:\equiv\mathrm{1}\:\left(\mathrm{mod}\:\mathrm{15}\right) \\ $$$$\left.\mathrm{a}\right)\:\mathrm{Write}\:\mathrm{down}\:\mathrm{three}\:\mathrm{values}\:\mathrm{of}\:{k}. \\ $$$$\left.\mathrm{b}\right)\:\mathrm{Find}\:\mathrm{the}\:\mathrm{general}\:\mathrm{solution}\:\mathrm{of}\: \\ $$$$\mathrm{the}\:\mathrm{equation}\:\:\mathrm{7}^{{k}} \:\equiv\:\mathrm{1}\:\left({mod}\:\mathrm{15}\right) \\ $$ Commented by mr W…

Two-30-ohms-resistor-are-connected-in-parallel-what-should-be-the-resistance-to-be-connected-in-series-with-this-parallel-combination-such-that-the-power-in-each-30-ohms-is-1-4-th-of-total-power-

Question Number 14962 by tawa tawa last updated on 06/Jun/17 $$\mathrm{Two}\:\mathrm{30}\:\mathrm{ohms}\:\mathrm{resistor}\:\mathrm{are}\:\mathrm{connected}\:\mathrm{in}\:\mathrm{parallel},\:\mathrm{what}\:\mathrm{should}\:\mathrm{be}\:\mathrm{the}\:\mathrm{resistance} \\ $$$$\mathrm{to}\:\mathrm{be}\:\mathrm{connected}\:\mathrm{in}\:\mathrm{series}\:\mathrm{with}\:\mathrm{this}\:\mathrm{parallel}\:\mathrm{combination}\:\mathrm{such}\:\mathrm{that}\:\mathrm{the}\:\mathrm{power} \\ $$$$\mathrm{in}\:\mathrm{each}\:\mathrm{30}\:\mathrm{ohms}\:\mathrm{is}\:\frac{\mathrm{1}}{\mathrm{4}}\:\mathrm{th}\:\mathrm{of}\:\mathrm{total}\:\mathrm{power}. \\ $$ Answered by ajfour last updated on 06/Jun/17 $$\frac{{P}}{\mathrm{4}}={I}^{\mathrm{2}}…

A-resistor-R-is-connected-in-series-with-a-parallel-combination-of-two-resistors-of-24-and-8-ohms-The-total-power-disipated-in-the-circuit-is-64-watt-when-the-applied-voltage-is-24-volt-Find-R-

Question Number 14963 by tawa tawa last updated on 06/Jun/17 $$\mathrm{A}\:\mathrm{resistor}\:\mathrm{R}\:\mathrm{is}\:\mathrm{connected}\:\mathrm{in}\:\mathrm{series}\:\mathrm{with}\:\mathrm{a}\:\mathrm{parallel}\:\mathrm{combination}\:\mathrm{of}\:\mathrm{two}\:\mathrm{resistors} \\ $$$$\mathrm{of}\:\mathrm{24}\:\mathrm{and}\:\mathrm{8}\:\mathrm{ohms}\:.\:\mathrm{The}\:\mathrm{total}\:\mathrm{power}\:\mathrm{disipated}\:\mathrm{in}\:\mathrm{the}\:\mathrm{circuit}\:\mathrm{is}\:\mathrm{64}\:\mathrm{watt}\:\mathrm{when}\:\mathrm{the} \\ $$$$\mathrm{applied}\:\mathrm{voltage}\:\mathrm{is}\:\mathrm{24}\:\mathrm{volt}.\mathrm{Find}\:\mathrm{R} \\ $$ Answered by ajfour last updated on 06/Jun/17 $$\:{P}=\frac{{V}^{\mathrm{2}}…

Question-14816

Question Number 14816 by tawa tawa last updated on 04/Jun/17 Answered by arnabpapu550@gmail.com last updated on 08/Jun/17 $$\mathrm{Answer}\:\mathrm{to}\:\mathrm{part}\:\mathrm{1} \\ $$$$\mathrm{Given}\:,\:\mathrm{x}=\frac{\mathrm{5}}{\mathrm{3}}\mathrm{t}^{\mathrm{3}} −\frac{\mathrm{5}}{\mathrm{2}}\mathrm{t}^{\mathrm{2}} −\mathrm{30t}+\mathrm{8x} \\ $$$$\mathrm{differentiating}\:\mathrm{both}\:\mathrm{side}\:\mathrm{with}\:\mathrm{t}, \\…