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Category: Mechanics

If-there-is-a-positive-error-in-the-measurement-of-velocity-of-a-body-then-the-error-in-the-measure-ment-of-kinetic-energy-is-

Question Number 126603 by Ar Brandon last updated on 22/Dec/20 $$\mathrm{If}\:\mathrm{there}\:\mathrm{is}\:\mathrm{a}\:\mathrm{positive}\:\mathrm{error}\:\mathrm{in}\:\mathrm{the}\:\mathrm{measurement} \\ $$$$\mathrm{of}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{a}\:\mathrm{body},\:\mathrm{then}\:\mathrm{the}\:\mathrm{error}\:\mathrm{in}\:\mathrm{the}\:\mathrm{measure}- \\ $$$$\mathrm{ment}\:\mathrm{of}\:\mathrm{kinetic}\:\mathrm{energy}\:\mathrm{is} \\ $$ Answered by Olaf last updated on 22/Dec/20 $$\mathrm{E}\:=\:\frac{\mathrm{1}}{\mathrm{2}}{mv}^{\mathrm{2}}…

A-particle-of-mass-m-moves-under-the-central-repulsive-force-mb-r-3-and-is-initially-moving-at-a-distance-a-from-the-origin-of-a-force-with-velocity-v-at-right-angle-to-a-show-that-

Question Number 191868 by Spillover last updated on 02/May/23 $${A}\:{particle}\:{of}\:{mass}\:{m}\:{moves}\:{under}\:{the}\:{central} \\ $$$${repulsive}\:{force}\:\frac{{mb}}{{r}^{\mathrm{3}} }\:\:{and}\:{is}\:{initially}\:{moving} \\ $$$${at}\:{a}\:{distance}\:'{a}'\:\:{from}\:{the}\:{origin}\:{of}\:\:{a}\:{force} \\ $$$${with}\:{velocity}\:\:'{v}'\:{at}\:{right}\:{angle}\:{to}\:\:'{a}'. \\ $$$${show}\:{that}\:\:\: \\ $$$$\:\:\:\:\:{r}\mathrm{cos}\:{p}\theta={a}\:\:{where}\:{p}\:=\frac{{b}}{{a}^{\mathrm{2}} {v}^{\mathrm{2}} }+\mathrm{1}. \\ $$$$…

Question-60697

Question Number 60697 by ajfour last updated on 24/May/19 Commented by ajfour last updated on 24/May/19 $${How}\:{far}\:{can}\:{the}\:{slider}\:{slide}\:{if}\:{it} \\ $$$${ejects}\:{mass}\:{at}\:{rate}\:\frac{{dM}}{{dt}}\:=\:{R}\:,\:{at}\:{a} \\ $$$${relative}\:{speed}\:{u}\:?\: \\ $$$$\left(\frac{{M}_{\mathrm{0}} }{\mathrm{2}}\:\:{of}\:{M}_{\mathrm{0}} \:{doesn}'{t}\:{burn}\:{and}\right.…

Question-60133

Question Number 60133 by ajfour last updated on 18/May/19 Commented by ajfour last updated on 18/May/19 $$\mathrm{Find}\:\mathrm{angle}\:\alpha\:\mathrm{when}\:\mathrm{m}\:\mathrm{separates} \\ $$$$\mathrm{from}\:\mathrm{M}.\:\left(\mathrm{m}\:\mathrm{slides}\:\mathrm{down}\:\:\mathrm{from}\:\mathrm{top}\right. \\ $$$$\mathrm{of}\:\mathrm{M}\:,\:\mathrm{motion}\:\mathrm{being}\:\mathrm{initiated} \\ $$$$\left.\mathrm{somehow}\:\mathrm{with}\:\mathrm{a}\:\mathrm{slight}\:\mathrm{impulse}\right). \\ $$…