A 50 kg man moved 25 steps up in 20 seconds. Find his power, if each step is 16 cm high. Ans. (100 W)
Given:
Mass of the man= m = 50 kg
No. of steps he move = n = 25
Height of one step = 0.16 m
Total height of steps that the man moves = h = 25 x 0.16 m = 4 m
Time taken = t = 20 sec
gravitational acceleration = g = 10 m s⁻²
To Find:
Power of the man = P = ? Watt
Solution:
As Power is defined as the rate of doing work. So,
P = `\frac {W}{t}`
P = `\frac {F xS}{t}` (∴ Force = F = weight = W = mg and S = h)
P = `\frac {mgh}{t}`
by putting values
P = `\frac {50 kg x 10 m s⁻² x4 m}{20 s}`
P = 100 kg m² s⁻³
or
P = 100 W
Thus the power of the man is 100 W
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© 2020-21 Academic Skills and Knowledge (ASK)
Note: Write me in the comments box below for any query and also Share this information with your class-fellows and friends.
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