Work and Power Involves you walking up a flight of stairs and recording your tim

Question

Work and Power
Involves you walking up a flight of stairs and recording your time via a stopwatch or chronograph. You will be asked to make measurements and calculations for the Total time to walk the flight of stairs (at least 7 steps) and the vertical height of the stairs from the bottom to the top.
Purpose: Determine your Work and Power as you climb a flight of stairs.
Materials: Yardstick, stopwatch, bathroom scale, calculator, and you the climber.
Procedure: Estimate your weight in kg. (1 kg mass = 2.2 lbs weight)
Approach the bottom stair with a steady speed.
Start the time as you reach the first stair.
Observations and Data: Calculate the Work and Power for you to climb the flight of stairs.
Variable Calculation
Weight 162 lbs = 162.2.2 = 73.6364 kg
Height 15 ft = 15/3.281 = 4.572 meters
Time 7.50 seconds


Work:
Power:
Power in kilowatts:

Application: Your local electric company supplies you with 1 kW of power for 1 hour for .08 cents. Assume that you can climb the stairs for 1 hour.
How much money would this climb be worth:

Explanation / Answer

Mass of the person is m = 73.6364 kg

Height h = 4.572 meters
a ) Work done W = mgh                               = 73.6364 kg * 9.8 m/s^2 * 4.572 m                               = 3299.3 J b ) Power is P = W / t                            = 3299.3 J / 7.50 s                            = 439.9 W                            = 0.4399 kW c ) money would this climb be worth is 439.9 W * 0.08 cents / 1W                                                            = 35.1 cents                                             

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