Question

A man of mass 60 kg runs up a flight of 30 steps in 15 second if its type is 21 cm high calculate the power of the man.

Answer 1

Heya folk !!

Here's the answer you are looking for

Well, I guess it must be 'each step' in place of 'its type'

So, here's your answer ↓↓↓

Power = Work done/time

And Work done = Energy

In this case, Work done = Potential energy (as work is done against gravity)

So, W = U = mgh

where,

m = 60kg

g ≈ 10m/s²

& h = Height of 30 steps

= 30 × 21cm

= 6.3m

From this we get, U = 60 × 10 × 6.3 = 3,780J

So,

☛ power (P) = 3780J / 15sec

= 252 J/s = 252Watt

★★ HOPE THAT HELPS ☺️ ★★

Answer 2

Hey!

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NOTE-:

m= mass
g= gravity due to Acceleration
P= Power
t= time taken
We= Work done

Now,


m= 60kg
g= 9.8 m/s

Number of steps= 30
Height of 1 step= 21 cm
Height of 30 steps= 30×21= 630 cm = 6.3 m

Time taken to climb 30 steps= 15s


Work done= F×s
W= m×g×s
W= 60×9.8×6.3
W= 3,704.4

Power= Work done/time
P=246.96 W



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Hope it helps...!!!