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A record for stair climbing was achieved by a man who raced up the 1600 steps of the Empire State Building to a height of 320 m in 10 min 59 sec. If his mass was 75 kg, what power did he generate (in both watts and horsepower) while climbing?

Respuesta :

Answer:

Power will be 356.90 watt  

Explanation:

We have given total number of steps in the stair = 1600

And height id the stair h = 320 m

Acceleration due to gravity [tex]g=9.8m/sec^2[/tex]

Mass is given m = 75 kg

So work done in climbing the stairs [tex]W=mgh=75\times 9.8\times 320=235200J[/tex]

Time is given t = 10 min 59 sec

So time [tex]t=10\times 60+59=659sec[/tex]

We know that power is rate of doing work

So power [tex]P=\frac{Work}{time}=\frac{235200}{659}=356.90watt[/tex]

So power will be 356.90 watt

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