Menu Close

Category: Others

Question-168548

Question Number 168548 by Tawa11 last updated on 13/Apr/22 Answered by mr W last updated on 13/Apr/22 $${l}={length}\:{of}\:{spring}\:{without}\:{load} \\ $$$${x}={length}\:{of}\:{spring}\:{under}\:\mathrm{2}{N}\:{load} \\ $$$$\frac{\mathrm{25}−{l}}{\mathrm{5}}=\frac{\mathrm{30}−{l}}{\mathrm{10}}=\frac{{x}−{l}}{\mathrm{2}} \\ $$$$\Rightarrow\frac{\mathrm{5}}{\mathrm{5}}=\frac{{x}−\mathrm{25}}{−\mathrm{3}} \\…

Question-168538

Question Number 168538 by Mastermind last updated on 12/Apr/22 Answered by mr W last updated on 12/Apr/22 $${N}=\mathrm{7}{a}+\mathrm{3}=\mathrm{4}{b}+\mathrm{2} \\ $$$$\mathrm{4}{b}−\mathrm{7}{a}=\mathrm{1} \\ $$$$\Rightarrow{b}=\mathrm{7}{k}+\mathrm{2} \\ $$$$\Rightarrow{N}=\mathrm{4}\left(\mathrm{7}{k}+\mathrm{2}\right)+\mathrm{2}=\mathrm{28}{k}+\mathrm{10} \\…

4-61-4-62-4-63-4-64-is-divisible-by-1-17-2-3-3-11-4-13-Mastermind-

Question Number 168537 by Mastermind last updated on 12/Apr/22 $$\mathrm{4}^{\mathrm{61}} +\mathrm{4}^{\mathrm{62}} +\mathrm{4}^{\mathrm{63}} +\mathrm{4}^{\mathrm{64}\:} \:{is}\:{divisible}\:{by} \\ $$$$\left(\mathrm{1}\right)\:\mathrm{17}\:\:\:\:\:\:\:\:\:\:\left(\mathrm{2}\right)\:\mathrm{3} \\ $$$$\left(\mathrm{3}\right)\:\mathrm{11}\:\:\:\:\:\:\:\:\:\:\left(\mathrm{4}\right)\:\mathrm{13} \\ $$$$ \\ $$$${Mastermind} \\ $$ Answered…

Question-168492

Question Number 168492 by Tawa11 last updated on 11/Apr/22 Commented by mr W last updated on 12/Apr/22 $${all}\:{answers}\:{given}\:{are}\:{wrong}! \\ $$$${mgh}=\frac{{kh}^{\mathrm{2}} }{\mathrm{2}} \\ $$$$\Rightarrow{h}=\frac{\mathrm{2}{mg}}{{k}}=\frac{\mathrm{2}×\mathrm{12}×\mathrm{10}}{\mathrm{850}}=\frac{\mathrm{24}}{\mathrm{85}}=\mathrm{0}.\mathrm{282}{m} \\ $$…