Question Number 29400 by ajfour last updated on 08/Feb/18 Commented by ajfour last updated on 08/Feb/18 $${Find}\:\boldsymbol{{b}}\:{in}\:{terms}\:{of}\:\boldsymbol{{a}},\boldsymbol{{u}},\boldsymbol{\alpha},\:{and}\:\boldsymbol{{e}}\:. \\ $$$$\left(\boldsymbol{{e}}\:{being}\:{the}\:{coefficient}\:{of}\right. \\ $$$$\left.{restitution}\right)\: \\ $$ Answered by…
Question Number 29359 by NECx last updated on 08/Feb/18 $${On}\:{a}\:{two}\:{lane}\:{road},{car}\:{A}\:{is} \\ $$$${travelling}\:{with}\:{a}\:{speed}\:{of}\:\mathrm{36}{km}/{h}. \\ $$$${Two}\:{cars}\:{B}\:{and}\:{C}\:{approach}\:{A}\:{in} \\ $$$${opposite}\:{directions}\:{with}\:{a}\:{speed}\:{of} \\ $$$$\mathrm{54}{km}/{h}\:{each}.{At}\:{a}\:{certain}\:{instant}, \\ $$$${when}\:{the}\:{distance}\:{AB}\:{is}\:{equal} \\ $$$${to}\:{AC},{both}\:{being}\:\mathrm{1}{km},{B}\:{decides} \\ $$$${to}\:{overtake}\:{A}\:{before}\:{C}\:{does}.{What} \\…
Question Number 29360 by NECx last updated on 08/Feb/18 $${Two}\:{stones}\:{are}\:{thrown}\:{up}\: \\ $$$${simultaneously}\:{from}\:{the}\:{edge}\:{of} \\ $$$${a}\:{cliff}\:\mathrm{200}{m}\:{high}\:{with}\:{initial} \\ $$$${speeds}\:{of}\:\mathrm{15}{ms}^{−\mathrm{1}} \:{and}\:\mathrm{30}{ms}^{−\mathrm{1}} . \\ $$$${Verify}\:{that}\:{the}\:{graph}\:{shown} \\ $$$${below}\:{correctly}\:{represents}\:{the} \\ $$$${time}\:{variation}\:{of}\:{the}\:{relative} \\…
Question Number 29322 by ajfour last updated on 07/Feb/18 Commented by ajfour last updated on 07/Feb/18 $${Find}\:{acceleration}\:{of}\:{sphere}\:{as} \\ $$$${a}\:{function}\:{of}\:{angle}\:\theta. \\ $$$${System}\:{is}\:{released}\:{at}\:\theta=\:\theta_{\mathrm{0}} \:\left(<\mathrm{90}°\right)\:; \\ $$$$\left({All}\:{surfaces}\:{are}\:{frictionless}\right). \\…
Question Number 29314 by Tinkutara last updated on 07/Feb/18 Commented by mrW2 last updated on 08/Feb/18 $${thanks}\:{sir}! \\ $$ Commented by ajfour last updated on…
Question Number 29273 by ajfour last updated on 06/Feb/18 Commented by ajfour last updated on 06/Feb/18 $${Ice}\:{cube}\:{melts}\:{due}\:{to}\:{friction}, \\ $$$${as}\:{it}\:{slides}\:{down}\:{a}\:{rough}\:{incline}. \\ $$$$\frac{{dm}}{{dx}}\:=−\frac{{f}}{{s}\bigtriangleup{T}_{\mathrm{0}} }\:\:\:\:\left({f}\:{is}\:{force}\:{of}\:{friction}\right) \\ $$$${s}\:{the}\:{specific}\:{heat}\:{of}\:{ice}\:{and} \\…
Question Number 29260 by NECx last updated on 06/Feb/18 $${The}\:{eriodic}\:{time}\:{of}\:{a}\:{simple} \\ $$$${pendulum}\:{is}\:{given}\:{by}\:{T}=\mathrm{2}\pi\sqrt{\frac{{L}}{{g}}}. \\ $$$${if}\:{L}=\mathrm{100}\pm\mathrm{0}.\mathrm{1}{cm}\left({s}.{e}\right)\:{and}\:{the} \\ $$$${time}\:{s}\:{for}\:\mathrm{10}\:{ossilations}\:{are}: \\ $$$$\mathrm{48}.\mathrm{2},\mathrm{48}.\mathrm{2},\mathrm{48}.\mathrm{7},\mathrm{48}.\mathrm{5},\mathrm{48}.\mathrm{4},\mathrm{48}.\mathrm{2},\mathrm{48}.\mathrm{4}, \\ $$$$\mathrm{48}.\mathrm{6},\mathrm{48}.\mathrm{5},\mathrm{48}.\mathrm{2}. \\ $$$${calcukate}\:{g}\:{and}\:{the}\:{standard} \\ $$$${error}\:{involved}. \\…
Question Number 29254 by Tinkutara last updated on 06/Feb/18 Commented by Tinkutara last updated on 06/Feb/18 Find the exact velocity vectors with x and y components. e=1/3 Theta=60° m=3 kg M=8 kg L=6 m u=25 m/s Tell me your final answers so that I can check whether its correct or not. Answered by mrW2 last updated on 06/Feb/18 $${u}_{\mathrm{1}{x}}…
Question Number 29217 by NECx last updated on 05/Feb/18 $${The}\:{velocity}\:{of}\:{a}\:{physical}\:{system} \\ $$$${is}\:{given}\:{by}\:{V}=\left\{\sqrt{\left({p}+\mathrm{1}/{n}\right)}\right\}/{x} \\ $$$${where}\:{p}={pressure}.\:{Find}\:{the} \\ $$$${dimensions}\:{of}\:{n}\:{and}\:{x} \\ $$ Answered by ajfour last updated on 05/Feb/18…
Question Number 29216 by NECx last updated on 05/Feb/18 $${A}\:{horizontal}\:{force}\:{of}\:\mathrm{0}.\mathrm{8}{N}\:{is} \\ $$$${required}\:{to}\:{pull}\:{a}\:\mathrm{5}{kg}\:{block}\:{across} \\ $$$${a}\:{table}\:{top}\:{at}\:{a}\:{constant}\:{speed}. \\ $$$${With}\:{the}\:{block}\:{initially}\:{at}\:{rest},{a} \\ $$$$\mathrm{20}{g}\:{bullet}\:{fired}\:{horizontally}\:{into} \\ $$$${the}\:{block}\:{to}\:{slide}\:\mathrm{1}.\mathrm{5}{m}\:{before} \\ $$$${coming}\:{to}\:{rest}\:{again}.{Determine} \\ $$$${the}\:{speed}\:{v}\:{of}\:{the}\:{bullet},{where} \\…