A person of mass $50 k g$ runs up to the staircase of $40$ steps in $6 s e c$ . If the height of each step is $15 c m$ , then his power will be (If $g = 10 m / s^{2}$ )

$300 W$

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$500 W$

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$600 W$

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$1000 W$

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Solution

The correct option is B
$500 W$

Step 1: Given data
Mass of the body m $= 50 k g$
No.of staircases $= 40$
Height of each step $= 15 c m = 0.15 m$
The total height the person traveled h $= 40 \times 0.15 m = 6 m$ .
Time is taken t $= 6 s$
Acceleration due to gravity $g space equals space 10 space m divided by s squared$
Step 2: To find the power of the person.
We have Power $P = \frac{m g h}{t}$
$P = \frac{50 k g \times 10 m s^{- 2} \times 6 m}{6 s}$ $= 500 W$
Therefore, the power of the person is $500 W$
Hence, option B is correct.

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A person of mass 50kgruns up to the staircase of 40 steps in 6sec. If the height of each step is 15cm, then his power will be (If g=10m/s2)

A person of mass $50 k g$ runs up to the staircase of $40$ steps in $6 s e c$ . If the height of each step is $15 c m$ , then his power will be (If $g = 10 m / s^{2}$ )