Question Number 53330 by Kunal12588 last updated on 20/Jan/19
Commented by Kunal12588 last updated on 20/Jan/19
Commented by tanmay.chaudhury50@gmail.com last updated on 20/Jan/19
$${F}×{S}=\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{2}{m}\right)×{V}_{\mathrm{2}{m}} ^{\mathrm{2}} +\mu\left(\mathrm{2}{mg}\right){s} \\ $$$${F}×{S}=\frac{\mathrm{1}}{\mathrm{2}}\left({m}\right)×{V}_{{m}} ^{\mathrm{2}} +\mu\left({mg}\right){s} \\ $$$$\mu={fricion}\:{coefficient}\:{between}\:{ice}\:{and}\:{boat} \\ $$$$\left({K}.{E}\right)_{\mathrm{2}{m}} +\mu\left(\mathrm{2}{mg}\right){s}=\left({K}.{E}\right)_{{m}} +\mu{mgs} \\ $$$$\mu×\mathrm{2}{mgs}−\mu{mgs}=\left({K}.{E}\right)_{{m}} −\left({K}.{E}\right)_{\mathrm{2}{m}} \\ $$$${so}\:\left({K}.{E}\right)_{{m}} >\left({K}.{E}\right)_{\mathrm{2}{m}} \\ $$$${pls}\:{check}\:{is}\:{it}\:{correct}...{if}\:{not}\:{pls}\:{comment}\:{with} \\ $$$${answer}... \\ $$
Commented by Kunal12588 last updated on 21/Jan/19
I think what you are doing is correct but the question ask something else.(great conceptual question)
Commented by Kunal12588 last updated on 21/Jan/19
Commented by tanmay.chaudhury50@gmail.com last updated on 21/Jan/19
$${thank}\:{you}\:{for}\:{answer}...{but}\:\:{i}\:{thought}\:{the}\:{frictuon} \\ $$$${between}\:{ice}\:{and}\:{boat}..{which}\:{cause}\:{the}\:{ice}\:{to}\:{melt} \\ $$$${localised}\:{thus}\:{help}\:{to}\:{move}\:{forward}. \\ $$$${if}\:{friction}\:{ignored}\:{then}\: \\ $$$$\bigtriangleup{K}.{E}={work}\:{done} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{2}{m}×{v}_{\mathrm{2}{m}\:} ^{\mathrm{2}} −\mathrm{0}={F}×{s}\:{for}\:{boat}\:\mathrm{2}{m}\:{mass} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}×{m}×{v}_{{m}} ^{\mathrm{2}} −\mathrm{0}={F}×{S}\:\:{for}\:{boat}\:{m}\:{mass} \\ $$$${thus} \\ $$$$\left({K}.{E}\right)_{\mathrm{2}{m}} ^{{final}} =\left({K}.{E}\right)_{{m}\:} ^{{final}} \\ $$$$ \\ $$
Commented by Kunal12588 last updated on 21/Jan/19
yeah I was thinking why are you adding the frictional force
Commented by tanmay.chaudhury50@gmail.com last updated on 21/Jan/19
Commented by tanmay.chaudhury50@gmail.com last updated on 21/Jan/19
Commented by tanmay.chaudhury50@gmail.com last updated on 21/Jan/19
Commented by tanmay.chaudhury50@gmail.com last updated on 21/Jan/19
Commented by Kunal12588 last updated on 21/Jan/19
Thank you very much sir
Commented by tanmay.chaudhury50@gmail.com last updated on 21/Jan/19
$${which}\:{book}\:{you}\:{read}...{i}\:{think}\:{at}\:{present}\:{days} \\ $$$${physics}\:{galaxy}\:{books}\:{by}\:{Ashsish}\:{Arora}\:{is}\:{excellent} \\ $$