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One coolie takes $1\mathrm{min}$ to raise a suitcase through a height of $2 \mathrm{~m}$ but the second coolie takes $30 \mathrm{~s}$ to raise the same suitcase to the same height. The powers of two coolies are in the ratio.
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The correct answer is:
$1: 2$
Here, work done $=m g h$
As, $m$ and $h$ is same, so work done will be same in both cases.
Power, $P=\frac{\text { Work done }(W)}{\text { Time taken }(t)}$ $\Rightarrow \quad \frac{P_{1}}{P_{2}}=\frac{t_{2}}{t_{1}}=\frac{30}{60}=\frac{1}{2}$ or $1: 2$
As, $m$ and $h$ is same, so work done will be same in both cases.
Power, $P=\frac{\text { Work done }(W)}{\text { Time taken }(t)}$ $\Rightarrow \quad \frac{P_{1}}{P_{2}}=\frac{t_{2}}{t_{1}}=\frac{30}{60}=\frac{1}{2}$ or $1: 2$
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