1.

A man of mass 60 Kg runs up a flight of 30 steps in 40 seconds. If each step is 20 cm high, calculate the power of the man.

Answer»

Given, 

Mass m= 60 kg 

Number of steps = 30 

Height of each step = 20 cm 

Time taken= 40 s 

Total height h = 20×30 

= 600 cm 

= 6m 

Total time (t) = 40×30 

= 1200 s 

We know,

Power = \(\frac{Work\,done}{Time\,taken}\)

Work done = potential energy stored 

= m × g × h 

Let g = 10 ms-2 

So, work done will be =60×10×6 

=3600 J 

Substituting value or work in above formula of power:

Power = \(\frac{3600\,J}{1200\,s}\)

Power of man = 3 J/s

= 3 W



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