Respuesta :
Answer:
2.66m/s
Explanation:
information we have
power: 65W
work per step per kilogram: 0.60J
mass: 61kg
length of a running step: 1.5m
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the formula for power is:
[tex]P=\frac{W}{t}[/tex]
where W is the work and t is time.
time is also defined as: [tex]t=\frac{distance}{velocity}=\frac{d}{v}[/tex]
so substituting this into the formula for power we get:
[tex]P=\frac{W*v}{d}[/tex]
where v is the velocity we are looking for, d is the distance per step: [tex]d=1.5m[/tex], W is the work per step and P is power [tex]P=65W[/tex].
we know that the work per step per kilogram is:
0.60J
so to find the work per step of his whole body we need to multiply the 0.60J by the 61 kilograms of his mas:
[tex]W=0.60J*61kg\\W=36.6J[/tex]this is the work per step of the person.
So now we can calculate the velocity using the formula for power
[tex]P=\frac{W*v}{d}[/tex]
clearing for v:
[tex]v=\frac{P*d}{W}\\[/tex]
and substituting known values:
[tex]v=\frac{(65W)(1.5m)}{36.6J}= 2.66m/s[/tex]
