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Category: Mechanics

A-body-of-mass-0-1kg-dropped-from-a-height-of-8m-onto-a-hard-floor-bounces-back-to-a-height-of-2m-Calculate-the-change-of-momentum-If-the-body-is-in-contact-with-the-floor-for-0-1s-then-what-is-the-

Question Number 48194 by Necxx last updated on 20/Nov/18 $${A}\:{body}\:{of}\:{mass}\:\mathrm{0}.\mathrm{1}{kg}\:{dropped}\:{from} \\ $$$${a}\:{height}\:{of}\:\mathrm{8}{m}\:{onto}\:{a}\:{hard}\:{floor} \\ $$$${bounces}\:{back}\:{to}\:{a}\:{height}\:{of}\:\mathrm{2}{m}. \\ $$$${Calculate}\:{the}\:{change}\:{of}\:{momentum}. \\ $$$${If}\:{the}\:{body}\:{is}\:{in}\:{contact}\:{with}\:{the} \\ $$$${floor}\:{for}\:\mathrm{0}.\mathrm{1}{s}\:{then}\:{what}\:{is}\:{the} \\ $$$${force}\:{exerted}\:{on}\:{the}\:{body}? \\ $$$$\left[{g}=\mathrm{10}{ms}^{−\mathrm{2}} \right]…

The-data-arranged-below-in-the-form-of-a-table-was-obtained-for-a-motor-cyclist-of-total-mass-120kg-traveling-from-Sun-city-towards-Delta-state-velocity-ms-1-00-20-40-50-50-60

Question Number 48187 by Rio Michael last updated on 20/Nov/18 $$\mathrm{The}\:\mathrm{data}\:\mathrm{arranged}\:\mathrm{below}\:\mathrm{in}\:\mathrm{the}\:\mathrm{form}\:\mathrm{of}\:\mathrm{a}\:\mathrm{table}\:\mathrm{was}\:\mathrm{obtained} \\ $$$$\mathrm{for}\:\mathrm{a}\:\mathrm{motor}\:\mathrm{cyclist}\:\mathrm{of}\:\mathrm{total}\:\mathrm{mass}\:\mathrm{120}{kg}\:{traveling}\:{from}\: \\ $$$${Sun}\:{city}\:{towards}\:{Delta}\:{state}. \\ $$$$ \\ $$$${velocity}/{ms}^{−\mathrm{1}} \:\:\mathrm{00}\:\:\:\:\:\mathrm{20}\:\:\:\:\:\mathrm{40}\:\:\:\mathrm{50}\:\:\:\:\:\mathrm{50}\:\:\:\:\mathrm{60}\:\:\:\mathrm{70}\:\:\:\:\mathrm{85} \\ $$$$\:\:\:\:\:{time},{t}/{s}\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{00}\:\:\:\:\:\mathrm{5}\:\:\:\:\:\:\:\mathrm{10}\:\:\:\:\mathrm{12}\:\:\:\:\:\mathrm{20}\:\:\:\mathrm{35}\:\:\:\:\mathrm{40}\:\:\:\:\mathrm{45} \\ $$$$\left.{i}\right)\:{plot}\:{a}\:{graph}\:{of}\:{velocity}\left({y}−{axis}\right)\:{against}\:{time}\left({x}−{axis}\right) \\…

Two-guns-situated-at-the-top-of-a-hill-of-height-10m-fire-one-shot-each-with-the-same-speed-5-3-ms-1-at-some-interval-of-time-One-gun-fires-horizontally-and-the-other-fires-upwards-at-an-angle-

Question Number 113657 by Ar Brandon last updated on 14/Sep/20 $$\mathrm{Two}\:\mathrm{guns}\:\mathrm{situated}\:\mathrm{at}\:\mathrm{the}\:\mathrm{top}\:\mathrm{of}\:\mathrm{a}\:\mathrm{hill}\:\mathrm{of}\:\mathrm{height}\:\mathrm{10m},\:\mathrm{fire}\:\mathrm{one}\:\mathrm{shot}\:\mathrm{each}\:\mathrm{with} \\ $$$$\mathrm{the}\:\mathrm{same}\:\mathrm{speed}\:\mathrm{5}\sqrt{\mathrm{3}}\mathrm{ms}^{−\mathrm{1}} \:\mathrm{at}\:\mathrm{some}\:\mathrm{interval}\:\mathrm{of}\:\mathrm{time}.\:\mathrm{One}\:\mathrm{gun}\:\mathrm{fires}\:\mathrm{horizontally} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{other}\:\mathrm{fires}\:\mathrm{upwards}\:\mathrm{at}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{60}°\:\mathrm{with}\:\mathrm{the}\:\mathrm{horizontal}.\:\mathrm{The}\:\mathrm{shots} \\ $$$$\mathrm{collide}\:\mathrm{in}\:\mathrm{air}\:\mathrm{at}\:\mathrm{a}\:\mathrm{point}\:\mathrm{P}.\:\mathrm{Find}\:\left(\mathrm{i}\right)\:\mathrm{the}\:\mathrm{time}\:\mathrm{interval}\:\mathrm{between}\:\mathrm{the}\:\mathrm{firings}\:\mathrm{and} \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{the}\:\mathrm{coordinates}\:\mathrm{of}\:\mathrm{the}\:\mathrm{hill}\:\mathrm{right}\:\mathrm{below}\:\mathrm{the}\:\mathrm{muzzle}\:\mathrm{and}\:\mathrm{trajectories}\:\mathrm{in}\:\mathrm{x}-\mathrm{y} \\ $$$$\mathrm{plane}. \\ $$ Commented…

Question-48050

Question Number 48050 by ajfour last updated on 18/Nov/18 Commented by ajfour last updated on 18/Nov/18 $${Find}\:{acceleration}\:{of}\:{sphere}\:{and} \\ $$$${angular}\:{velocity}\:{of}\:{plank}\:{as}\:{a} \\ $$$${function}\:{of}\:{a}\:{subsequent}\:{angle}\:\theta. \\ $$$${Assume}\:{all}\:{surfaces}\:{frictionless} \\ $$$${and}\:{figure}\:{depicts}\:{the}\:{initial}…

Question-47957

Question Number 47957 by ajfour last updated on 17/Nov/18 Commented by ajfour last updated on 17/Nov/18 $${If}\:{the}\:{stick}\:{is}\:{on}\:{the}\:{verge}\:{of} \\ $$$${slipping}\:{on}\:{ground},\:{in}\:{the} \\ $$$${situation}\:{shown},\:{find}\:\boldsymbol{\theta},\:\boldsymbol{\varphi},\:\boldsymbol{{N}},\:\boldsymbol{{T}}. \\ $$ Commented by…

Question-47906

Question Number 47906 by ajfour last updated on 16/Nov/18 Commented by ajfour last updated on 18/Nov/18 $${If}\:{a}\:{solid}\:{cylinder}\:{released}\:{at} \\ $$$${top}\:{end}\:{of}\:{a}\:{plank}\:{that}\:{is}\:{free} \\ $$$${to}\:{turn}\:{about}\:{the}\:{bottom}\:{hinge} \\ $$$${at}\:{ground},\:{find}\:{linear}\:{velocity} \\ $$$${of}\:{cylinder}\:{and}\:{angular}\:{velocity}…