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Category: Mechanics

Question-114353

Question Number 114353 by mr W last updated on 18/Sep/20 Commented by mr W last updated on 18/Sep/20 $${rod}\:{with}\:{length}\:{L}\:{and}\:{mass}\:{m}. \\ $$$${friction}\:{coefficient}\:{between}\:{rod} \\ $$$${and}\:{wall}\:{is}\:\mu. \\ $$$${on}\:{the}\:{ground}\:{the}\:{friction}\:{is}\:{large}…

A-50g-golf-ball-is-struck-with-a-club-moving-with-a-velocity-of-22m-s-after-it-moves-4cm-and-ball-accelerates-with-a-velocity-of-44m-s-estimate-the-average-force-exerted-by-the-club-on-the-ball-

Question Number 114114 by aurpeyz last updated on 17/Sep/20 $$ \\ $$$$\mathrm{A}\:\mathrm{50g}\:\mathrm{golf}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{struck}\:\mathrm{with}\:\mathrm{a}\:\mathrm{club}\:\mathrm{moving} \\ $$$$\mathrm{with}\:\mathrm{a}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{22m}/\mathrm{s}\:\mathrm{after}\:\mathrm{it}\:\mathrm{moves}\:\mathrm{4cm}\:\mathrm{and} \\ $$$$\mathrm{ball}\:\mathrm{accelerates}\:\mathrm{with}\:\mathrm{a}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{44m}/\mathrm{s}. \\ $$$$\mathrm{estimate}\:\mathrm{the}\:\mathrm{average}\:\mathrm{force}\:\mathrm{exerted}\:\mathrm{by}\:\mathrm{the}\:\mathrm{club} \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{ball}. \\ $$ Commented by aurpeyz…

A-ball-of-mass-0-25kg-is-moving-to-the-right-at-a-speed-of-7-4m-s-it-strikes-a-wall-at-90-0-and-rebounds-from-the-wall-leaving-it-with-a-speed-of-5-8n-s-moving-to-the-left-Find-the-direction-and-m

Question Number 113976 by aurpeyz last updated on 16/Sep/20 $$\mathrm{A}\:\mathrm{ball}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{0}.\mathrm{25kg}\:\mathrm{is}\:\mathrm{moving}\:\mathrm{to}\:\mathrm{the}\:\mathrm{right}\:\mathrm{at} \\ $$$$\mathrm{a}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{7}.\mathrm{4m}/\mathrm{s}.\:\mathrm{it}\:\mathrm{strikes}\:\mathrm{a}\:\mathrm{wall}\:\mathrm{at}\:\mathrm{90}^{\mathrm{0}} \mathrm{and}\: \\ $$$$\mathrm{rebounds}\:\mathrm{from}\:\mathrm{the}\:\mathrm{wall}\:\mathrm{leaving}\:\mathrm{it}\:\mathrm{with}\:\mathrm{a}\:\mathrm{speed} \\ $$$$\mathrm{of}\:\mathrm{5}.\mathrm{8n}/\mathrm{s}\:\mathrm{moving}\:\mathrm{to}\:\mathrm{the}\:\mathrm{left}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{direction}\: \\ $$$$\mathrm{and}\:\mathrm{magnitude}\:\mathrm{of}\:\mathrm{the}\:\mathrm{change}\:\mathrm{in}\:\mathrm{direction} \\ $$ Commented by aurpeyz last…

Question-48268

Question Number 48268 by ajfour last updated on 21/Nov/18 Commented by ajfour last updated on 21/Nov/18 $${Find}\:{length}\:{of}\:{both}\:{segments} \\ $$$${of}\:{string}\:{AP}\:=\:{L}_{\mathrm{1}} \:{and}\:{BP}\:={L}_{\mathrm{2}} , \\ $$$${and}\:{the}\:{tension}\:{in}\:{string}\:{if} \\ $$$${rod}\:{of}\:{length}\:\boldsymbol{{l}},\:{mass}\:\boldsymbol{{m}}\:{hangs}…

lim-x-0-sin-1-x-x-

Question Number 113747 by faysal last updated on 15/Sep/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{sin}^{−\mathrm{1}} {x}}{{x}} \\ $$ Answered by bemath last updated on 15/Sep/20 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{d}\left(\mathrm{sin}^{−\mathrm{1}} {x}\right)}{{dx}}\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}}…