Answer:
408 steps
Explanation:
Given :
[tex]Power =P= 746\ W\\mass=M\ =\ 70\ kg\\time\ =\ T\ =\ 1\ minute\\Height=H=16\ cm=0.16\ m[/tex]
Consider that n is the number of steps .
We know that
[tex]Power=P = \frac{work done}{time\ taken} \\[/tex]
that can be written as
P=[tex]\frac{n*MgH}{T}[/tex]
In terms of n ,
[tex]n=\frac{P*T}{MgH} \\Putting\ the\ value\ of\ P\ ,T\ M\ ,H\ and\ G=9.8\ ms^{2} \ in\ the\ previous \ equation\ we\ get[/tex][tex]n=\frac{ 746 W*60s}{ 70 kg *9.8 m/s2*0.16m} \\n=407.8\ steps[/tex]
~n=408 steps
