A man of weight $50 \mathrm{~kg}$ carries an object to a height of $20 \mathrm{~m}$ in a time of $10…

A man of weight $50 \mathrm{~kg}$ carries an object to a height of $20 \mathrm{~m}$ in a time of $10 \mathrm{~s}$. The power used by the man in this process is $2000 \mathrm{~W}$, then find the weight of the object carried by the man (take, $g=10 \mathrm{~ms}^{-2}$ )
  1. $100\ kg$
  2. $25\ kg$
  3. $50\ kg$
  4. $10\ kg$

Solution

$\begin{aligned} & \text { } \mathrm{P}=\mathrm{w} / \mathrm{t} \\ & \mathrm{w}=\mathrm{p} \times \mathrm{t} \\ & \Rightarrow \quad(\mathrm{m}+\mathrm{M}) \mathrm{gh}=2000 \times 10 \\ & \Rightarrow \quad(\mathrm{m}+50) 200=2000 \times 10 \\ & \Rightarrow \quad \mathrm{m}+50=100 \\ & \Rightarrow \quad \mathrm{m}=50 \mathrm{~kg}\end{aligned}$

Asked in: AP EAMCET 2015

Practice more Work Power Energy questions on Aicharya