Question

what is the power output for 60 kg woman who runs up a 3 m flight of stairs in 3.5 s, starting from rest having a final speed of 2 m/s?

Answer 1

Answer:

Given,

Mass (m) = 60 kg

Displacement (S) = 3 m

Time (t) = 3.5 s

Initial Velocity (u) = 0 m/s

Final Velocity (v) = 2 m/s

Acceleration (a) = v = u + at

= 2 = 0+3.5a

= 2 = 3.5a

= 0.57 m/s² = a

Force (F) = ma

= 60*0.57 N

= 34.2 N

Work Done (W) = Force*Displacement

= 34.2*3 J

= 102.6 J

∴Power = Work/Time

= 102.6/3.5 W

= 29.31 W is the Power Output.

I hope this helps.