Hindi, asked by ankit5725, 6 months ago

a girl of mass 60kg runs up a flight of 50 stairs, each measuring 20cm, in 60 seconds. Calculate the power of the girl​

Answers

Answered by Legend3678
4

Given :

Mass of the girl = 60 kg

Total Number of stairs = 50

Height of each one = 20 cm

Time taken = 60 sec

To Find :

Power of the girl

Solution :

Height of each stair = 20 cm = 0.2 m

Total height of the staircase = Number of stairs × height of each stair = 50 × 0.2 = 10 m

Expression for Power is given by ,

\begin{gathered} \\ : \implies \sf \: P = \frac{mgh}{t} \end{gathered}

:⟹P=

t

mgh

We have ,

m = 60 kg

g = 9.8 m/s²

t = 60 sec

h = 10 m

Now by substituting the values we get ;

\begin{gathered} \\ : \implies \sf \: P = \frac{(60 \: kg)(9.8 \: ms {}^{ - 2} )(10 \: m)}{(60 \: s)} \\ \end{gathered}

:⟹P=

(60s)

(60kg)(9.8ms

−2

)(10m)

\begin{gathered} \\ : \implies \sf \: P = \frac{600 \: kgm {}^{2} (9.8)}{60 \: s {}^{ - 3} } \\ \end{gathered}

:⟹P=

60s

−3

600kgm

2

(9.8)

\begin{gathered} \\ : \implies \sf \: P = \frac{5800}{60} \: kgm {}^{2} {s}^{ - 3} \\ \end{gathered}

:⟹P=

60

5800

kgm

2

s

−3

\begin{gathered} \\ : \implies{\underline{\boxed{\sf { \: P = \:98 \: W }}}}\end{gathered}

:⟹

P=98W

Hence , The Power of the girl is 98 W.

Answered by sakshu9412
0

Answer:

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