Question

A machine raises a load of 100kg to a height of 15m in 5s . Find (i) The energy spent by the machine (ii) The power developed by the machine​

Answer 1

$\sf\fbox{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:Answer\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}$

$\bold\pink{Given:}$

$\sf{Mass\: of\: load\: raised\: by\: the machine= 100 \:kg}$

$\sf{Height = 15 \:m}$

$\sf{Time \:taken = 5 \:sec}$

$\bold\pink{To \:find:}$

$\sf{(i)\:The\: energy\: spent \:by\: the \:machine}$

$\sf{(ii) \:The \:power \:developed \:by\: the\: machine}$

$\bold\pink{Solution:}$

Formula of work,

$\small\underline{\boxed{\sf\;\;Work = m \times g \times h}}$

$\sf{\implies work = 100 \times 10 \times 15}$

$\sf{ \implies work = 15000 \: J }$

$\sf{The\: energy\: spent \:by\: the \:machine\: is \:15000 \:J}$

Formula of Power,

$\small\underline{\boxed{\sf\;\;Power = \dfrac{work}{time}}}$

$\sf{ \implies Power = \dfrac{15000}{5}}$

$\sf{\implies power = 3000 \: watt}$

$\sf{Hence,}$ $\sf{The\: power\: developed\: by \:the\: machine}$ $\sf{is \:3000 \: watt}$