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Category: Mechanics

A-baggage-tractor-pulling-luggage-carts-from-an-airplane-The-tractor-has-mass-6500-kg-while-cart-A-has-mass-2500-kg-and-cart-B-has-mass-150-kg-The-driving-force-acting-for-a-brief-period-of-time-a

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-176888

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-111340

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}\:…

A-particle-of-mass-500g-is-placed-on-a-plane-inclined-at-an-angle-30-to-the-horizontal-What-force-is-i-acting-parallel-to-the-plane-ii-acting-horizontally-is-required-to-hold-the-particle-at-re

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-111235

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…

An-800kg-car-is-towed-up-an-8-0-hill-by-a-rope-attached-to-a-truck-The-tension-in-the-rope-is-2000N-and-there-is-no-frictional-resistance-to-the-car-motion-How-much-time-is-needed-to-tow-the-car-

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…

two-boxes-one-of-mass-20kg-and-the-other-of-mass-30kg-sre-sliding-down-on-a-frictionless-inclined-plane-that-makes-an-angle-of-25-0-with-the-horizontal-find-their-redpective-accelerstions-

Question Number 111196 by aurpeyz last updated on 02/Sep/20 $${two}\:{boxes}\:{one}\:{of}\:{mass}\:\mathrm{20}{kg}\:{and}\:{the}\:{other}\:{of}\: \\ $$$${mass}\:\mathrm{30}{kg}\:{sre}\:{sliding}\:{down}\:{on}\:{a}\:{frictionless} \\ $$$${inclined}\:{plane}\:{that}\:{makes}\:{an}\:{angle}\:{of}\:\mathrm{25}^{\mathrm{0}} \:{with}\:{the}\: \\ $$$${horizontal}.\:{find}\:{their}\:{redpective}\:{accelerstions}. \\ $$ Answered by Dwaipayan Shikari last updated…

Question-176660

Question Number 176660 by mr W last updated on 24/Sep/22 Commented by mr W last updated on 25/Sep/22 $${find}\:{the}\:{time}\:{the}\:{rod}\:{takes}\:{to}\:{reach} \\ $$$${the}\:{ground}.\: \\ $$$${the}\:{coefficient}\:{of}\:{friction}\:{between} \\ $$$${rod}\:{and}\:{wall}\:{is}\:\mu\:{which}\:{is}\:{small}\:{enough}…