Question Number 173558 by MadhumitaSamanta last updated on 13/Jul/22 $$\mathrm{A}\:\mathrm{metal}\:\mathrm{sphere}\:\mathrm{has}\:\mathrm{radius}\:{R}\:\mathrm{and}\:\mathrm{mass}\:{m}.\:\mathrm{A}\:\mathrm{spherical} \\ $$$$\mathrm{hollow}\:\mathrm{of}\:\mathrm{diameter}\:{R}\:\mathrm{is}\:\mathrm{made}\:\mathrm{in}\:\mathrm{this}\:\mathrm{sphere}\:\mathrm{such}\:\mathrm{that}\:\mathrm{its} \\ $$$$\mathrm{surface}\:\mathrm{passes}\:\mathrm{through}\:\mathrm{the}\:\mathrm{centre}\:\mathrm{of}\:\mathrm{the}\:\mathrm{metal}\:\mathrm{sphere} \\ $$$$\mathrm{and}\:\mathrm{touches}\:\mathrm{the}\:\mathrm{outside}\:\mathrm{surface}\:\mathrm{of}\:\mathrm{the}\:\mathrm{metal}\:\mathrm{sphere}. \\ $$$$\mathrm{A}\:\mathrm{unit}\:\mathrm{mass}\:\mathrm{is}\:\mathrm{placed}\:\mathrm{at}\:\mathrm{a}\:\mathrm{distance}\:\mathrm{from}\:\mathrm{the}\:\mathrm{centre}\:\mathrm{of}\:\mathrm{the}\:\mathrm{metal} \\ $$$$\mathrm{sphere}.\:\mathrm{The}\:\mathrm{gravitational}\:\mathrm{field}\:\mathrm{at}\:\mathrm{that}\:\mathrm{point}\:\mathrm{is} \\ $$$$\left(\mathrm{a}\right)\:\frac{{GM}}{{R}^{\mathrm{2}} }\:\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{8}\left(\mathrm{1}−\frac{\mathrm{2}{R}}{{a}}\right)^{\mathrm{2}} }\right) \\…
Question Number 34988 by ajfour last updated on 14/May/18 Commented by ajfour last updated on 14/May/18 $${If}\:{a}\:{tunnel}\:{is}\:{dug}\:{across}\:{a} \\ $$$${diameter}\:{of}\:{Earth}\:{and}\:{a}\:{rod} \\ $$$${of}\:{mass}\:{m}\:{free}\:{to}\:{oscillate} \\ $$$${about}\:{this}\:{tunnel}\:{is}\:{displaced} \\ $$$${slightly}\:{and}\:{released},\:{find}\:{the}…
Question Number 33824 by Nayon.Sm last updated on 25/Apr/18 $$\mathrm{two}\:\mathrm{sphere}\:\mathrm{with}\:\mathrm{10}\:\mathrm{cm}\:\mathrm{radious}\:\mathrm{and} \\ $$$$\mathrm{1}\:\mathrm{kg}\:\mathrm{mass}\:\mathrm{and}\:\mathrm{distence}\:\mathrm{between} \\ $$$$\mathrm{this}\:\mathrm{two}\:\mathrm{is}\:\mathrm{1}\:\mathrm{m}\:.\mathrm{after}\:\mathrm{what}\:\mathrm{time}\:\mathrm{they} \\ $$$$\mathrm{will}\:\mathrm{touch}\:\mathrm{each}\:\mathrm{other}? \\ $$ Answered by Andrew Foxman last updated on…
Question Number 32158 by omoosun last updated on 20/Mar/18 $${an}\:{elevator}\:{of}\:{mass}\:\mathrm{250}{kg}\:{is}\:{carrying}\:\mathrm{3}\:{person}\:{whose}\:{masses}\:\mathrm{60}{kg},\:\mathrm{80}{kg},\:\mathrm{100}{kg}\:{and}\:{the}\:{force}\:{exacted}\:{by}\:{the}\:{motion}\:{is}\:\mathrm{5000}{N}. \\ $$$$\left.{a}\right)\:{With}\:{what}\:{acceleration}\:{will}\:{the}\:{elevator}\:{ascend} \\ $$$$\left.{b}\right)\:{Starting}\:{from}\:{rest},{how}\:{far}\:{will}\:{it}\:{go}\:{in}\:\mathrm{5}{s}. \\ $$$$\left({acceleration}\:{to}\:{gravity}\:{G}=\mathrm{9}.\mathrm{8}{ms}^{−\mathrm{2}} \right). \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 28044 by Tinkutara last updated on 19/Jan/18 Commented by Tinkutara last updated on 19/Jan/18 Please check question 101 and it's answer. Is the answer correct? Commented by mrW2 last updated on 19/Jan/18 $${Q}\mathrm{101}:\:{D}…
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Question Number 158941 by ajfour last updated on 10/Nov/21 Commented by ajfour last updated on 10/Nov/21 $$\:\:\:\:\:{Find}\:\bar {{v}}_{{min}} \:{to}\:{hit}\:{the}\:{moon}. \\ $$$$\:\:\:\:\:{Assume}\:{no}\:{air},\:{n}\:{just}\:{the} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:{projectile}\:{moving}. \\ $$…
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Question Number 27445 by Tinkutara last updated on 07/Jan/18 $${If}\:{a}\:{planet}\:{is}\:{suddenly}\:{stopped}\:{in}\:{its} \\ $$$${orbit},\:{supposed}\:{to}\:{be}\:{circular},\:{then}\:{it} \\ $$$${would}\:{fall}\:{into}\:{the}\:{sun}\:{in}\:{a}\:{time}\:\frac{{T}}{\mathrm{4}\sqrt{\mathrm{2}}}, \\ $$$${where}\:{T}\:{is}\:{the}\:{time}\:{period}\:{of} \\ $$$${revolution}.\:{Prove}\:{this}. \\ $$ Answered by mrW1 last updated…