Question

colin invests £1200 into his bank account

Answer 1

$\huge \underline{ \underline{ { \cal \: {Q}} \large \red{ \tt \: U} \green{ \tt \: E} \blue{ \tt \: S} \orange{ \tt \: T} \purple{ \tt \: I} \red{ \tt \: O} \blue{ \tt \: N}}} : -$

• A man can open a nut by applying a force of 75 KGF by using a lever of handle of 0.5 metre.What should be the length of the lever of another handle if the force required to open the nut is 45 KGF.

$\underline{ \huge{ \sf \: \ G} \large\tt{{{ \underline{ \red{IVEN : - }}}}}}$

• $\boldsymbol { \underline{Force \: \: required \: \: to \: \: open \: \: a \: \: nut \: \: \orange➙ \: \red{\tt {\: 75 \: kgf}}}}$

• $\boldsymbol { \underline{Length \: \: of \: \: the \: \: levers \: \: handle \: \: \orange➙ \: \red{\tt {\: 0.5 \: \bf{m }}}}}$

• $\boldsymbol { \underline{Force \: \: required \: \: to \: \: open \: \: the \: \: nut \: \: of \: \: another \: \: handle \: \orange➙ \: \red{\tt {\: 45 \: kgf}}}}$

$\underline{ \huge{ \sf \: \ T} \large\tt{{{ \underline{ \pink{O}}}}}}$$\underline{ \huge{ \sf \: \ F}\large\tt{{{ \underline{ \pink{IND} : - }}}}}$

• $\boldsymbol { \underline{Length \: \: of \: \: the \: \: lever \: \: of \: \:another\: \: handle \: \: \orange➙ \: \red{\tt {\:??}}}}$

$\underline{ \huge{ \sf \: \ F} \large\tt{{{ \underline{ \purple{ORMULA}}}}}}$$\underline{ \huge{ \sf \: \ U}\large\tt{{{ \underline{ \purple{SED} : - }}}}}$

$\boxed{\sf{\red{\underline{\odot Note\: :- \: (i) \: means \: case \: 1, \: (ii) \:means \:case\: 2\:. }}}}$

• $\sf{Effort\: arm\: (ii) =\dfrac {Effort\: applied\: (i) \times \:Handle's\: length\: (i)}{ Effort\: applied\: (ii)}}$

$\huge \underline{ \underline{ { \cal \: {S}} \large \red{ \tt \: O} \green{ \tt \: L} \blue{ \tt \: U} \orange{ \tt \: T} \purple{ \tt \: I} \red{ \tt \: O} \blue{ \tt \: N}}} : -$

$\large\frak{\underline{\dag\:The \:work\: done \:in \:case \:(i) :\implies \:work \:done \:in\: case\: (ii)\:}}$