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A-body-rolls-down-a-slope-from-a-height-of-100m-the-velocity-at-the-foot-of-the-slope-is-20-m-s-What-percentage-of-the-P-E-is-converted-in-K-E-Answer-20-

Question Number 28905 by tawa tawa last updated on 01/Feb/18 $$\mathrm{A}\:\mathrm{body}\:\mathrm{rolls}\:\mathrm{down}\:\mathrm{a}\:\mathrm{slope}\:\mathrm{from}\:\mathrm{a}\:\mathrm{height}\:\mathrm{of}\:\:\mathrm{100m}.\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{at}\:\mathrm{the}\:\mathrm{foot}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{slope}\:\mathrm{is}\:\:\mathrm{20}\:\mathrm{m}/\mathrm{s}.\:\:\mathrm{What}\:\mathrm{percentage}\:\mathrm{of}\:\mathrm{the}\:\boldsymbol{\mathrm{P}}.\boldsymbol{\mathrm{E}}\:\:\mathrm{is}\:\mathrm{converted}\:\mathrm{in}\:\:\boldsymbol{\mathrm{K}}.\boldsymbol{\mathrm{E}}\:\:? \\ $$$$ \\ $$$$\boldsymbol{\mathrm{A}}\mathrm{nswer}:\:\:\:\:\:\mathrm{20\%} \\ $$ Answered by mrW2 last updated on…

Let-G-be-a-connected-graph-and-let-X-be-the-set-of-vertices-of-G-of-odd-degree-suppose-that-X-2k-where-k-1-show-that-there-are-k-edge-disjoint-trail-Q-1-Q-2-Q-k-in-G-such-that-E-G-E-Q-1-

Question Number 94419 by sorour87.d last updated on 18/May/20 $${Let}\:{G}\:{be}\:{a}\:{connected}\:{graph}\:{and}\:{let}\:{X}\:{be}\:{the}\:{set}\:{of}\:{vertices}\:{of}\:{G}\:{of}\:{odd}\:{degree}.\:{suppose}\:{that}\:\mid{X}\mid=\mathrm{2}{k},\:{where}\:{k}\geqslant\mathrm{1}\: \\ $$$${show}\:{that}\:{there}\:{are}\:{k}\:{edge}-{disjoint}\:{trail}\:{Q}_{\mathrm{1}} ,\:{Q}_{\mathrm{2}} ,…,{Q}_{{k}} \:{in}\:{G}\:{such}\:{that} \\ $$$${E}\left({G}\right)={E}\left({Q}_{\mathrm{1}} \right)\cup{E}\left({Q}_{\mathrm{2}} \right)\cup….\cup{E}\left({Q}_{{k}} \right) \\ $$ Terms of Service…

The-arms-of-an-ac-maxwell-bridge-are-arranged-as-follows-AB-is-a-non-active-resistance-of-1000-in-parallel-with-a-capacitor-of-capacitance-of-0-5-F-BC-is-a-non-inductive-resistance-of

Question Number 28854 by tawa tawa last updated on 31/Jan/18 $$\mathrm{The}\:\mathrm{arms}\:\mathrm{of}\:\mathrm{an}\:\mathrm{ac}\:\mathrm{maxwell}\:\mathrm{bridge}\:\mathrm{are}\:\mathrm{arranged}\:\mathrm{as}\:\mathrm{follows}:\:\:\mathrm{AB}\:\:\mathrm{is}\:\mathrm{a}\:\mathrm{non}\:-\:\mathrm{active} \\ $$$$\mathrm{resistance}\:\mathrm{of}\:\:\:\mathrm{1000}\:\Omega\:\:\mathrm{in}\:\mathrm{parallel}\:\mathrm{with}\:\mathrm{a}\:\mathrm{capacitor}\:\mathrm{of}\:\mathrm{capacitance}\:\mathrm{of}\:\:\:\mathrm{0}.\mathrm{5}\mu\mathrm{F}\:, \\ $$$$\mathrm{BC}\:\:\mathrm{is}\:\mathrm{a}\:\mathrm{non}\:-\:\mathrm{inductive}\:\mathrm{resistance}\:\mathrm{of}\:\:\mathrm{600}\:\Omega,\:\:\:\mathrm{CD}\:\mathrm{is}\:\mathrm{inductive}\:\mathrm{impedance}\:\left(\mathrm{unknown}\right) \\ $$$$\mathrm{and}\:\mathrm{DA}\:\:\mathrm{is}\:\mathrm{a}\:\mathrm{non}\:-\:\mathrm{inductive}\:\mathrm{resustance}\:\mathrm{of}\:\:\mathrm{400}\:\Omega.\:\:\mathrm{If}\:\mathrm{balance}\:\mathrm{is}\:\mathrm{obtained}\:\mathrm{under} \\ $$$$\mathrm{these}\:\mathrm{conditions}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{resistance}\:\mathrm{and}\:\mathrm{the}\:\mathrm{inductance}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{branch}\:\:\mathrm{CD}\:\:\mathrm{and}\:\mathrm{show}\:\mathrm{the}\:\mathrm{circuit}\:\mathrm{diagram}. \\ $$ Terms of…