the man whose mass is 50 kg climbs up 30 steps of the stairs in 30 seconds if each step is 20 cm high .calculate the power used in climbing stairs (take g=10 m/sec^2)
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Given,
Mass of the man=50kg
He climbed 30 steps in 30 seconds.
Each step is 20 cm high.
To Find,
Power used in climbing stairs.
Solution,
A man whose mass is 50kg climbs up steps of a stair in 30seconds each step is 20 cm High.
20cm=20/100m=0.2m
Height at 30 steps ,
h = 30 × 0.2 = 6 m
We have the formula for change in potential energy ,
P=Mgh = 50 × 10 × 6 = 3000 J.
So, Work done by the man , W = 3000 J.
We know,
Power, P=Total work done/time
=3000/30=100W
Hence, the power used in climbing stairs is 100W.
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