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Category: Mechanics

Question-170005

Question Number 170005 by ajfour last updated on 13/May/22 Commented by ajfour last updated on 14/May/22 $${A}\:{moves}\:{in}\:{circle}\:{with}\: \\ $$$${speed}\:{u},\:{while}\:{B}\:{down}\:{the} \\ $$$${vertical}\:{diameter}\:{with}\:{speed} \\ $$$${u}\mathrm{cos}\:\theta,\:{where}\:\theta\:{is}\:{shown}, \\ $$$${what}\:{to}\:{mean}.\:{Given}\:{initial}…

an-astraonaut-weighs-3200N-on-a-planet-whose-mass-is-the-same-as-that-of-the-earth-but-whose-radius-is-half-that-of-the-earth-the-astronsut-weight-on-the-earth-is-what-

Question Number 104299 by aurpeyz last updated on 20/Jul/20 $$\mathrm{an}\:\mathrm{astraonaut}\:\mathrm{weighs}\:\mathrm{3200N}\:\mathrm{on}\:\mathrm{a}\:\mathrm{planet}\:\mathrm{whose}\:\mathrm{mass}\:\mathrm{is}\:\mathrm{the}\:\mathrm{same}\:\mathrm{as}\:\mathrm{that}\:\mathrm{of}\:\mathrm{the}\:\mathrm{earth}\:\mathrm{but}\:\mathrm{whose}\:\mathrm{radius}\:\mathrm{is}\:\mathrm{half}\:\mathrm{that}\:\mathrm{of}\:\mathrm{the}\:\mathrm{earth}.\:\mathrm{the}\:\mathrm{astronsut}\:\mathrm{weight}\:\mathrm{on}\:\mathrm{the}\:\mathrm{earth}\:\mathrm{is}\:\mathrm{what}? \\ $$ Answered by OlafThorendsen last updated on 20/Jul/20 $${g}_{\mathrm{planet}} \:=\:\frac{\mathrm{M}_{\mathrm{planet}} \mathrm{G}}{\mathrm{R}_{\mathrm{planet}} ^{\mathrm{2}} } \\…

a-girl-weighs-569-37N-on-the-earth-surfsce-a-what-would-she-weigh-at-a-height-above-the-earth-surface-of-one-earth-radius-what-would-her-mass-be-

Question Number 104301 by aurpeyz last updated on 20/Jul/20 $$\mathrm{a}\:\mathrm{girl}\:\mathrm{weighs}\:\mathrm{569}.\mathrm{37N}\:\mathrm{on}\:\mathrm{the}\:\mathrm{earth}\:\mathrm{surfsce}\:\left(\mathrm{a}\right)\:\mathrm{what}\:\mathrm{would}\:\mathrm{she}\:\mathrm{weigh}\:\mathrm{at}\:\mathrm{a}\:\mathrm{height}\:\mathrm{above}\:\mathrm{the}\:\mathrm{earth}\:\mathrm{surface}\:\mathrm{of}\:\mathrm{one}\:\mathrm{earth}\:\mathrm{radius}?\:\mathrm{what}\:\mathrm{would}\:\mathrm{her}\:\mathrm{mass}\:\mathrm{be}? \\ $$ Commented by mr W last updated on 20/Jul/20 $${what}\:{if}\:{you}\:{don}'{t}\:{write}\:{the}\:{whole} \\ $$$${post}\:{in}\:{a}\:{single}\:{line}?\:{thanks}! \\ $$…

find-the-acceleration-of-gravity-at-an-alitude-of-1000k-

Question Number 104293 by aurpeyz last updated on 20/Jul/20 $$\mathrm{find}\:\mathrm{the}\:\mathrm{acceleration}\:\mathrm{of}\:\mathrm{gravity}\:\mathrm{at} \\ $$$$\:\mathrm{an}\:\mathrm{alitude}\:\mathrm{of}\:\mathrm{1000k} \\ $$ Answered by OlafThorendsen last updated on 20/Jul/20 $$\frac{{g}\left({z}\right)}{{g}_{\mathrm{0}} }\:=\:\left(\frac{\mathrm{R}}{\mathrm{R}+{z}}\right)^{\mathrm{2}} \\ $$$$=\:\left(\frac{\mathrm{6570}}{\mathrm{6570}+\mathrm{1000}}\right)^{\mathrm{2}}…

Question-104281

Question Number 104281 by ajfour last updated on 20/Jul/20 Commented by ajfour last updated on 20/Jul/20 $${How}\:{far}\:\left({s}=?\right)\:{can}\:{the} \\ $$$${hemisphere}\:{slide}\:{if}\:{a}\:{block}\:{of} \\ $$$${mass}\:{m}\:{placed}\:{atop}\:{it}\:{is}\:{given}\:{a} \\ $$$${gentle}\:{tap}\:{towards}\:{left}. \\ $$$${Assume}\:{no}\:{friction}\:{between}\:{block}…

A-Satellite-orbits-the-esrth-in-a-circle-of-rsdius-8000km-At-that-distance-from-the-earth-g-6-2m-s2-The-velocity-of-the-satelliege-is-

Question Number 104143 by aurpeyz last updated on 19/Jul/20 $$\mathrm{A}\:\mathrm{Satellite}\:\mathrm{orbits}\:\mathrm{the}\:\mathrm{esrth}\:\mathrm{in}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{of}\:\mathrm{rsdius}\:\mathrm{8000km}.\:\mathrm{At}\:\mathrm{that}\:\mathrm{distance}\:\mathrm{from}\:\mathrm{the}\:\mathrm{earth}\:\mathrm{g}=\mathrm{6}.\mathrm{2m}/\mathrm{s2}.\:\mathrm{The}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{the}\:\mathrm{satelliege}\:\mathrm{is}? \\ $$ Commented by aurpeyz last updated on 19/Jul/20 $$\mathrm{pls}\:\mathrm{help} \\ $$ Answered by OlafThorendsen…