Question Number 183457 by Acem last updated on 26/Dec/22 $${He}\:{went}\:{to}\:{work}\:{by}\:{his}\:{car}\:{at}\:{speed}\:\mathrm{120}\:{km}/{hr} \\ $$$$\:{and}\:{back}\:{home}\:{the}\:{same}\:{way}\:\mathrm{90}\:{km}/{hr},\:{find}\:{the} \\ $$$$\:{average}\:{speed}\:{for}\:{the}\:{entire}\:{distance}\:{traveled}. \\ $$$$ \\ $$ Answered by Matica last updated on 26/Dec/22…
Question Number 52340 by Necxx last updated on 06/Jan/19 $${A}\:\mathrm{90}{cm}\:{uniform}\:{lever}\:{has}\:{a}\:{load} \\ $$$${of}\:\mathrm{30}{N}\:{suspended}\:{at}\:\mathrm{15}{cm}\:{from} \\ $$$${one}\:{of}\:{its}\:{ends}.{If}\:{the}\:{fulcrum}\:{is}\:{at} \\ $$$${the}\:{centre}\:{of}\:{gravity}\:{what}\:{is}\:{the} \\ $$$${force}\:{that}\:{must}\:{be}\:{applied}\:{to}\:{its} \\ $$$${other}\:{end}\:{to}\:{keep}\:{it}\:{in}\:{horizontal} \\ $$$${equilibrium}? \\ $$ Answered…
Question Number 52312 by ajfour last updated on 06/Jan/19 Commented by ajfour last updated on 06/Jan/19 $${If}\:{lengths}\:{of}\:{strings}\:{l}\:{and}\:{L}\:{are} \\ $$$${such}\:{that}\:{shown}\:{geometry}\:{results}, \\ $$$${find}\:{tension}\:{in}\:{both}\:{strings}. \\ $$ Commented by…
Question Number 52099 by ajfour last updated on 03/Jan/19 Commented by ajfour last updated on 03/Jan/19 $${Find}\:\theta\left({t}\right). \\ $$ Answered by mr W last updated…
Question Number 52043 by ajfour last updated on 02/Jan/19 Commented by ajfour last updated on 02/Jan/19 $${Except}\:{ground}\:{all}\:{suraces}\:{are} \\ $$$${frictionless}.\:{An}\:{wedge}\:{has}\:{to} \\ $$$${support}\:{two}\:{cyliners}\:{one}\:{top}\:{of} \\ $$$${another}\:{against}\:{wall}.\:{Find} \\ $$$${minimum}\:\mu\:{on}\:{ground}\:{for}…
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Question Number 182888 by CrispyXYZ last updated on 16/Dec/22 $$\mathrm{A}\:\mathrm{spring}\:\mathrm{with}\:\mathrm{length}\:{L}\:\mathrm{and}\:\mathrm{spring}\:\mathrm{constant}\:{k} \\ $$$$\mathrm{is}\:\mathrm{fixed}\:\mathrm{on}\:\mathrm{the}\:\mathrm{ceiling}.\:\mathrm{Hang}\:\mathrm{a}\:\mathrm{mass}\:\mathrm{point}\:{m} \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{bottom}\:\mathrm{of}\:\mathrm{the}\:\mathrm{spring}.\:\mathrm{Find}\:\mathrm{the} \\ $$$$\mathrm{relation}\:\mathrm{between}\:\mathrm{distsnce}\:{h}\:\mathrm{from}\:{m}\:\mathrm{to}\:\mathrm{ceiling} \\ $$$$\mathrm{and}\:\mathrm{time}\:{t}.\:\mathrm{Ignore}\:\mathrm{air}\:\mathrm{resistance},\:\mathrm{friction}\:\mathrm{and} \\ $$$$\mathrm{gravity}\:\mathrm{of}\:\mathrm{spring}. \\ $$ Answered by mr…
Question Number 51539 by ajfour last updated on 28/Dec/18 Commented by ajfour last updated on 28/Dec/18 $${Rope}\:{has}\:{a}\:{total}\:{length}\:{L}\:{and}\:{linear} \\ $$$${mass}\:{density}\:\rho.\:{System}\:{is}\:{released} \\ $$$${as}\:{shown}.\:{The}\:{pulley}\:{is}\:{a}\:{disc}.\:{Find} \\ $$$${time}\:{it}\:{takes}\:{for}\:{the}\:{rope}\:{to}\:{unwind} \\ $$$${completely}.…
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Question Number 182405 by abdullah_ff last updated on 09/Dec/22 $${Zombie}\:{apocalypse}\:{has}\:{started}.\:{You} \\ $$$${are}\:{at}\:{point}\:{A}\:\left(\mathrm{3},\mathrm{2}\right).\:{At}\:{point}\:{B}\:\left(−\mathrm{5},\mathrm{4}\right) \\ $$$${there}\:{is}\:{a}\:{shelter}.\:{A}\:{river}\:{flows}\:{along}\: \\ $$$${the}\:{X}\:{axis}.\:{You}\:{are}\:{running}\:{at}\:{a}\:{constant} \\ $$$${velocity}\:\mathrm{1}\:{ms}^{−\mathrm{1}} \:{with}\:{an}\:{intention}\:{to} \\ $$$${reach}\:{the}\:{shelter}\:{but}\:{before}\:{that},\:{you} \\ $$$${have}\:{to}\:{reach}\:{the}\:{river}\:{and}\:{fill}-{up}\:{your} \\ $$$${water}\:{jar}.\:{What}\:{is}\:{the}\:{lowest}\:{time}\:{it}\:…