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Two persons A and B complete a given same task in $1 h$ and $2 h$ respectively. The person with more power is [[1]].

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Detailed Solution

Two persons A and B complete a given same task in

1 h

and

2 h

respectively. The person with more power is A.
Power is defined as the rate of doing work.

Power = \frac{work}{time}

\Rightarrow

= \frac{Force \times Displacement}{Time}

Its SI Unit is Watt.
Watt:-Watt is Joule Per Second.

P = \frac{E}{t} .

P = \frac{W}{t}

Where

E

is The Energy Consumed to do work.

W

is the work done.

t

is the time taken.

P = \frac{W}{t}

\Rightarrow

Power is inversely proportional to time. Hence less time more the Power.
Person A is more powerful as he does the same amount of work in relatively less time than B.

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