What is power output of a 60 kg person who walks up a 4 meter flight of stairs in 4.0 seconds?
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To calculate the power output of a person, we need to use the formula:
Power = Work / Time
First, we need to calculate the work done by the person. The work done is equal to the force applied multiplied by the distance moved. In this case, the force applied is the weight of the person, which is the mass multiplied by the gravitational acceleration (9.8 m/s^2). The distance moved is given as 4 meters.
Work = Force * Distance
= (Mass * Gravitational Acceleration) * Distance
Next, we need to calculate the time taken, which is given as 4.0 seconds.
Now, we can calculate the power:
Power = Work / Time
Let's plug in the values and calculate:
Mass = 60 kg
Gravitational Acceleration = 9.8 m/s^2
Distance = 4 meters
Time = 4.0 seconds
Work = (60 kg * 9.8 m/s^2) * 4 meters
Power = Work / 4.0 seconds
Now, let's calculate the work and power:
Work = (60 kg * 9.8 m/s^2) * 4 meters
= 2352 Joules
Power = 2352 Joules / 4.0 seconds
= 588 Watts
Therefore, the power output of the person walking up a 4 meter flight of stairs in 4.0 seconds is 588 Watts.