A man of mass 80 kg climbs up 4 m high stairs in 10 sec. Find the power spent by the man. (Take g = 10 m/sec2)

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  1. 200 watts
  2. 400 watts
  3. 320 watts
  4. 800 watts

Answer (Detailed Solution Below)

Option 3 : 320 watts
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Detailed Solution

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Concept

Work done = mgh

where, m = mass of body; g = acceleration due to gravity; h = height of fall

Power = \(\frac{W}{t}\)

Calculation

Given 

mass (m) = 80 kg

g = 10 m/sec2

h = 4 metre

t = 10 seconds

Work done \(=mgh=80\times10\times4=3200J\)

Power used, \(P= \frac {W}{t}=\frac {3200}{10}=320 W\)

The power spent by the man is 320 watts.

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