Question

01

Q. One coolie takes 1 minute to rdise a suitcase through a height of 2m but the second coolie takes 30 sec to rdise the same suitcase to same height. The powers of two coolies in the ratio


(a) 1 : 3 (b) 2 : 1 (c) 3 : 1 (d) 1 : 2

Answer 1

Dear Student ,
Here in this case ,

$$\begin{gathered} Energyspentbythefirstcollie=mgh=2mg \\ Energyspentbythesecondcoolie=mgh=2mg \\ Nowthepowerofthefirstcoolie=P=\frac{E}{t}=\frac{2mg}{60}=\frac{mg}{30} \\ powerofthesecondcoolie=P\text{'}=\frac{E}{t}=\frac{2mg}{30}=\frac{mg}{15} \\ Sotheratiooftheirpowers=\frac{P}{P\text{'}}=\frac{\frac{mg}{30}}{\frac{mg}{15}}=\frac{15}{30}=\frac{1}{2} \\ Therefore,P:P\text{'}=1:2. \end{gathered}$$
Regards