In your activity, supposed it took you 25.0 seconds in climbing the stairs of the science
building from the ground floor to the third floor, with a total vertical distance, h of 8.00 m.
Knowing your mass in kg, solve for your power output in three different units such as:
1. Power in J/s or Watts
2. Power in erg/s
3. Power in horsepower, hp
To find the power output, we need to use the formula:
Power = Work / Time
Let's break down the steps to find the power output in each of the requested units:
1. Power in J/s or Watts:
To calculate power in watts, we first need to calculate the work done. The work done is equal to the force multiplied by the distance.
In this case, the work done is equal to the force (which is the product of mass and acceleration due to gravity, g) multiplied by the vertical distance, h.
The formula for work is: Work = force x distance
Work = (mass x g) x h
To find the force, we use the formula: Force = mass x acceleration
Force = mass x g
Now, substitute the force value back into the work formula:
Work = (mass x g) x h
Next, divide the work done by the time taken to climb the stairs to get the power output:
Power = Work / Time
Substitute the values for work and time, and you will have the power output in watts.
2. Power in erg/s:
To convert power from watts to erg/s, we need to use the conversion factor: 1 watt = 10^7 erg/s.
Multiply the power output in watts by 10^7 to convert it to erg/s.
Power (erg/s) = Power (watts) x 10^7
3. Power in horsepower (hp):
To convert power from watts to horsepower, we need to use the conversion factor: 1 hp = 746 watts.
Divide the power output in watts by 746 to convert it to horsepower.
Power (hp) = Power (watts) / 746
Now you have the power output in three different units: J/s (Watts), erg/s, and horsepower (hp).