Question Number 22855 by NECx last updated on 23/Oct/17
$${Equal}\:{forces}\:{act}\:{on}\:{two}\:{bodies} \\ $$$${which}\:{are}\:{initially}\:{at}\:{rest},{for} \\ $$$${equal}\:{times}.{If}\:{the}\:{ratio}\:{of}\:{the}\: \\ $$$${masses}\:{is}\:\mathrm{4}:\mathrm{3},{What}\:{is}\:{the}\:{ratio} \\ $$$${of}\:{the}\:{distance}\:{covered}? \\ $$
Commented by NECx last updated on 23/Oct/17
$${please}\:{help} \\ $$
Answered by Physics lover last updated on 23/Oct/17
$${let}\:{the}\:{two}\:{masses}\:{be}\:\mathrm{4}{m}\:\&\:\mathrm{3}{m} \\ $$$${force}\:{be}\:{f} \\ $$$${a}_{\mathrm{4}{m}\:} =\:\frac{{f}}{\mathrm{4}{m}}\:;\:{a}_{\mathrm{3}{m}\:} =\:\frac{{f}}{\mathrm{3}{m}} \\ $$$${using}\:{second}\:{equation}\:{of}\:{motion} \\ $$$$\:{S}_{\mathrm{4}{m}\:\:} =\:\left(\mathrm{0}\right){t}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\left(\frac{{f}}{\mathrm{4}{m}}\right){t}^{\mathrm{2}} \\ $$$${S}_{\mathrm{3}{m}} \:=\:\left(\mathrm{0}\right){t}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\left(\frac{{f}}{\mathrm{3}{m}}\right){t}^{\mathrm{2}} \\ $$$$\Rightarrow\:\frac{{S}_{\mathrm{4}{m}} }{{S}_{\mathrm{3}{m}\:} }\:=\:\frac{\mathrm{3}}{\mathrm{4}} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$
Commented by NECx last updated on 23/Oct/17
$${wow}....\:{Thats}\:{cool}\:{buddy} \\ $$$$ \\ $$
Commented by NECx last updated on 23/Oct/17
$${nice}\:{one}\:{sir}...\:{its}\:{short}\:{and} \\ $$$${explanatory} \\ $$$$ \\ $$
Commented by Physics lover last updated on 23/Oct/17
$${thanks}\:{and}\:{yeah},{you}\:{can}\:{call}\:{me} \\ $$$${buddy}/{friend}. \\ $$
Commented by Physics lover last updated on 23/Oct/17
$${Actually}\:{i}\:{have}\:{pivked}\:{up}\:{writting} \\ $$$${like}\:{this}\:{from}\:{my}\:{physics}\:{teacher}. \\ $$$${He}\:{would}\:{write}\:{sooo}\:{perfectly} \\ $$$${that}\:{it}\:{sometimes}\:{look}\:{funny} \\ $$$${and}\:{ridiculous}\:.{But}\:{i}\:{admired}\:{that} \\ $$$$.{Even}\:{if}\:{he}\:{would}\:{put}\:{an}\:{extra} \\ $$$$``{dot}''\:{he}\:{would}\:{immediately} \\ $$$${notice}\:{and}\:{rectify}\:{that}.\:{p} \\ $$$${He}\:{says}\:{that}\:{he}\:{used}\:{to}\:{make} \\ $$$${portraits}.{And}\:{his}\:{drawing}\:{is}\: \\ $$$${like}\:{that}\:{of}\:{an}\:{architect}.{lol} \\ $$