a man whose mass is 50 kg moves 30 step in 30 seconds if each step is 20 metre high calculate the power ( take g=10m/s^2)
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Answer:
P=W/t
=mgh/t
h=30*20
P=50*10*30*20/30
=10^4W
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Given :
Mass of the man = 50kg
Number of steps = 30
Time taken = 30
Height of each step = 20m
To find :
Power of the man
Solution :
Firstly we have to find work done by the person,
work done is given by,
w = mgh
here,
- w denotes work done
- m denotes mass
- g denotes gravity
- h denotes height
height of steps = 30 × 20 = 600m.
by substituting all the given values in the formula,
➠ w = mgh
➠ w = (50)(10)(600)
➠ w = 300000 J
now,
The power is rate of work done
- The SI unit of power is the watt (W)
we know,
P = w/t
here,
- P denotes power
- w denotes work done
- t denotes time
by substituting all the given values in the formula,
➠ P = w/t
➠ P = 300000/30
➠ P = 10000 W
thus, Power of the man is 10000W.
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