A girl of mass 50kg runs up a flight of stairs.After 10 minutes she is 250 metres above the ground. Determine her average power output. Ignore the effects of friction.
Power = work done / time
Work done
=mgh
=50*9.8*250
=122500 J
Time
=10*60 s
=600 s
Power
= work done /time
=122500/600 J/s
= 204.2 W
Ep=50*9.8*250
Ep = W
time=60*10
=600s
P= W/t
=122500/600
=204,166W •0�4
To determine the average power output of the girl, we need to use the formula:
Power = Work / Time
First, we need to find the work done by the girl. The work done against gravity is given by the formula:
Work = Force × Distance
The force acting against gravity can be calculated using the formula:
Force = Mass × Acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s^2. Thus, the force acting against gravity will be:
Force = 50 kg × 9.8 m/s^2
Next, we can find the distance covered by the girl by subtracting the initial height from the final height:
Distance = Final height - Initial height
= 250 m - 0 m (assuming the ground level as the initial height)
Now we can calculate the work done by the girl:
Work = Force × Distance
Finally, we can determine the average power output:
Power = Work / Time