Question Number 46024 by ajfour last updated on 20/Oct/18 Commented by ajfour last updated on 27/Oct/18 $${An}\:{open}\:{cylindrical}\:{tank}\:{holds} \\ $$$${a}\:{little}\:{water}.{Find}\:{the}\: \\ $$$${level}\:{of}\:{free}\:{surface}\:{of}\:{water}\:{in} \\ $$$${tank}\:{when}\:{it}\:{is}\:\:{tilted}\:{by}\:{angle}\:\theta. \\ $$…
Question Number 111549 by Study last updated on 04/Sep/20 $${a}\:{car}\:{has}\:{a}\:{tire}\:{diameter}\:{of}\:\mathrm{0}.\mathrm{5}{m}\:{and} \\ $$$$\:{a}\:{speed}\:{of}\:\frac{\mathrm{80}{km}}{{hr}}\:{so}\:{how}\:{many}\:{cycles}\: \\ $$$${will}\:{this}\:{car}\:{hit}\:{in}\:\mathrm{3}\:{minutes}? \\ $$ Answered by Lordose last updated on 04/Sep/20 $$\boldsymbol{\mathrm{v}}=\frac{\boldsymbol{\mathrm{s}}}{\boldsymbol{\mathrm{t}}}=\frac{\mathrm{80}\boldsymbol{\mathrm{km}}}{\mathrm{1}\boldsymbol{\mathrm{hr}}}=\frac{\mathrm{80000}}{\mathrm{3600}}=\mathrm{22}.\mathrm{2}\boldsymbol{\mathrm{m}}/\boldsymbol{\mathrm{s}} \\…
Question Number 177055 by ajfour last updated on 30/Sep/22 Commented by ajfour last updated on 30/Sep/22 $${Our}\:{boy}\:{throws}\:{a}\:{ball}\:{with}\:{speed}\:{u} \\ $$$${and}\:{starts}\:{climbing}\:{down}\:{at}\:{same} \\ $$$${speed}\:{u}\:{and}\:{runs}\:{forward}\:{to}\: \\ $$$${catch}\:{the}\:{ball},\:{and}\:{does}\:{so}\:{success} \\ $$$$-{fully}.\:{Find}\:\theta\:{in}\:{terms}\:{of}\:{u},{g},{h}.…
Question Number 111377 by aurpeyz last updated on 03/Sep/20 $$ \\ $$$$\mathrm{A}\:\mathrm{baggage}\:\mathrm{tractor}\:\mathrm{pulling}\:\mathrm{luggage}\:\mathrm{carts}\:\mathrm{fro}{m}\:{an} \\ $$$$\:\mathrm{airplane}.\:\mathrm{The}\:\mathrm{tractor}\:\mathrm{has}\:\mathrm{mass}\:\mathrm{6500}\:\mathrm{kg}\:\mathrm{while} \\ $$$${c}\mathrm{art}\:\mathrm{A}\:\mathrm{has}\:\mathrm{mass}\:\mathrm{2500}\:\mathrm{kg}\:\mathrm{and}\:\mathrm{cart}\:\mathrm{B}\:\mathrm{has}\:\mathrm{mass} \\ $$$$\mathrm{150}\:\mathrm{kg}.\:\mathrm{The}\:\mathrm{driving}\:\mathrm{force}\:\mathrm{acting}\:\mathrm{for}\:\mathrm{a}\:\mathrm{brief} \\ $$$$\mathrm{perio}{d}\:\mathrm{of}\:\mathrm{time}\:\mathrm{accelerates}\:\mathrm{the}\:\mathrm{system}\:\mathrm{from}\:\mathrm{rest} \\ $$$$\mathrm{a}{n}\mathrm{d}\:\mathrm{acts}\:\mathrm{for}\:\mathrm{3}{s}.\:\left(\mathrm{a}\right)\:\mathrm{If}\:\mathrm{this}\:\mathrm{driving}\:\mathrm{force}\:\mathrm{is}\:\mathrm{given} \\ $$$$\mathrm{b}{y}\:\mathrm{F}=\mathrm{820}{N}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{speed}\:\mathrm{after}\:\mathrm{3}{s}\:\left({b}\right) \\…
Question Number 176888 by mr W last updated on 27/Sep/22 Commented by mr W last updated on 27/Sep/22 $${a}\:{ball}\:{is}\:{projected}\:{from}\:{point}\:{A}\:{on}\:{the} \\ $$$${ground}\:{against}\:{a}\:{wall}\:{as}\:{shown}\:{and} \\ $$$${hits}\:{the}\:{wall}\:{at}\:{point}\:{B}.\: \\ $$$${if}\:{the}\:{coefficient}\:{of}\:{restitution}\:{is}\:{e},…
Question Number 111340 by ajfour last updated on 03/Sep/20 Commented by ajfour last updated on 03/Sep/20 $${Diagrams}\:{show}\:{collision}\:{of}\:{two}\:{balls}\: \\ $$$${on}\:{flat}\:{frictionless}\:{surface}\:{before} \\ $$$${collision}\:{and}\:{just}\:{after}\:{collision}. \\ $$$${coefficient}\:{of}\:{restitution}\:{being}\:\boldsymbol{{e}}. \\ $$$${Find}\:{v},\:{V},\:\theta,\:\phi\:\:{in}\:{terms}\:{of}\:…
Question Number 111282 by Aina Samuel Temidayo last updated on 03/Sep/20 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{500g}\:\mathrm{is}\:\mathrm{placed}\:\mathrm{on}\:\mathrm{a}\: \\ $$$$\mathrm{plane}\:\mathrm{inclined}\:\mathrm{at}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{30}° \\ $$$$\mathrm{to}\:\mathrm{the}\:\mathrm{horizontal}.\:\mathrm{What}\:\mathrm{force}\:\mathrm{is} \\ $$$$\left(\mathrm{i}\right)\:\mathrm{acting}\:\mathrm{parallel}\:\mathrm{to}\:\mathrm{the}\:\mathrm{plane} \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{acting}\:\mathrm{horizontally}\:\mathrm{is}\:\mathrm{required}\:\mathrm{to} \\ $$$$\mathrm{hold}\:\mathrm{the}\:\mathrm{particle}\:\mathrm{at}\:\mathrm{rest}\:\left(\mathrm{g}=\mathrm{10m}/\mathrm{s}^{\mathrm{2}} \right) \\ $$…
Question Number 111235 by aurpeyz last updated on 02/Sep/20 Commented by aurpeyz last updated on 02/Sep/20 $$\mathrm{Pls}\:\mathrm{explain}\:\mathrm{why}\:\mathrm{T}_{\mathrm{1}} \:\mathrm{is}\:\mathrm{negative}\:\mathrm{in}\:\mathrm{equation}\:\mathrm{1} \\ $$$$\mathrm{but}\:\mathrm{Positive}\:\mathrm{in}\:\mathrm{equation}\:\mathrm{2}. \\ $$$${i}\:{just}\:{want}\:{to}\:{understand}\:{that}\:{scenerio}.\:{pls} \\ $$ Answered…
Question Number 45673 by ajfour last updated on 15/Oct/18 Commented by ajfour last updated on 15/Oct/18 $${Assuming}\:{no}\:{friction}\:{anywhere}, \\ $$$${find}\:{N}_{\mathrm{1}} ,\:{N}_{\mathrm{2}} \:. \\ $$ Answered by…
Question Number 111205 by aurpeyz last updated on 02/Sep/20 $$\mathrm{An}\:\mathrm{800kg}\:\mathrm{car}\:\mathrm{is}\:\mathrm{towed}\:\mathrm{up}\:\mathrm{an}\:\mathrm{8}^{\mathrm{0}} \:\mathrm{hill}\:\mathrm{by}\:\mathrm{a}\:\mathrm{rope}\: \\ $$$$\mathrm{attached}\:\mathrm{to}\:\mathrm{a}\:\mathrm{truck}.\:\mathrm{The}\:\mathrm{tension}\:\mathrm{in}\:\mathrm{the}\:\mathrm{rope} \\ $$$$\mathrm{is}\:\mathrm{2000N}\:\mathrm{and}\:\mathrm{there}\:\mathrm{is}\:\mathrm{no}\:\mathrm{frictional}\:\mathrm{resistance} \\ $$$$\mathrm{to}\:\mathrm{the}\:\mathrm{car}\:\mathrm{motion}.\:\mathrm{How}\:\mathrm{much}\:\mathrm{time}\:\mathrm{is}\:\mathrm{needed}\: \\ $$$$\mathrm{to}\:\mathrm{tow}\:\mathrm{the}\:\mathrm{car}\:\mathrm{for}\:\mathrm{50m}\:\mathrm{starting}\:\mathrm{from}\:\mathrm{rest}? \\ $$ Commented by aurpeyz last…