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[16]
A boy of mass $50 kg$ runs up a staircase of $60 steps in$ $9 s$ . If the height of each step is $15 cm$ What will be his power? ( take $g = 10 m / s$ 2)

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400 W

460 W

500 W

489 W

answer is C.

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Detailed Solution

A boy of mass

50 kg

runs up a staircase of

60 steps in 9 s

. If the height of each step is

15 cm .

His power will be

500 W

.
Given,

Mass = 50 kg

Height =

15 cm

Time

t = 9 s

So,

force = m \times g

\Rightarrow F = 50 \times 10

= 500 N

Work done = Force \times displacement

Here we have

60 steps

with

15 cm

;
hence total displacement =

60 \times 15

\Rightarrow = 900 cm

\Rightarrow = 9 m

So,

W = 500 \times 9

W = 4500 J

And we know that

power P = \frac{W}{T}

\Rightarrow P = \frac{4500}{9}

P = 500 W

Thus, the power is

500 W

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