Question

champion athlete can produce one horsepower (746 W) for a short period of time. The number of 16-cm-high steps a 70-kg athlete could ascend in one minute while expending one horsepower is

Answer 1

408 steps

Step-by-step explanation:

Given :

`Power =P= 746\ W\\mass=M\ =\ 70\ kg\\time\ =\ T\ =\ 1\ minute\\Height=H=16\ cm=0.16\ m`

Consider that n is the number of steps .

We know that

`Power=P = (work done)/(time\ taken) \\`

that can be written as

P=
`(n*MgH)/(T)`

In terms of n ,

`n=(P*T)/(MgH) \\Putting\ the\ value\ of\ P\ ,T\ M\ ,H\ and\ G=9.8\ ms^(2) \ in\ the\ previous \ equation\ we\ get`
`n=( 746 W*60s)/( 70 kg *9.8 m/s2*0.16m) \\n=407.8\ steps`

~n=408 steps