Question

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?

Answer 1

Power will be 356.90 watt

Step-by-step explanation:

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

And height id the stair h = 320 m

Acceleration due to gravity
`g=9.8m/sec^2`

Mass is given m = 75 kg

So work done in climbing the stairs
`W=mgh=75* 9.8* 320=235200J`

Time is given t = 10 min 59 sec

So time
`t=10* 60+59=659sec`

We know that power is rate of doing work

So power
`P=(Work)/(time)=(235200)/(659)=356.90watt`

So power will be 356.90 watt