Calculating Average Power for a 51 kg Woman Running Upstairs

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SUMMARY

The average power exerted by a 51 kg woman running up a flight of stairs with a net upward displacement of 5.0 meters in 5.0 seconds is calculated using the formula for power, which is work done over time. The work done is equal to the gravitational potential energy gained, calculated as mass (51 kg) multiplied by gravitational acceleration (9.81 m/s²) and height (5.0 m). The average power is determined to be approximately 5.1 kW.

PREREQUISITES
  • Understanding of gravitational potential energy
  • Knowledge of the power formula (Power = Work/Time)
  • Familiarity with basic physics concepts such as mass and displacement
  • Ability to perform calculations involving units of power (kW)
NEXT STEPS
  • Review the concept of gravitational potential energy and its formula
  • Learn about the relationship between work, energy, and power in physics
  • Explore examples of calculating average power in different physical scenarios
  • Investigate the effects of varying mass and height on average power calculations
USEFUL FOR

Students studying physics, educators teaching energy and power concepts, and anyone interested in applying physics to real-world scenarios such as athletics and biomechanics.

Cheddar
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Homework Statement



A woman with a mass of 51 kg runs up a flight of stairs in a time of 5.0 seconds. Her net upward displacement is 5.0 meters. What is her average power in kW?

Homework Equations





The Attempt at a Solution

 
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Welcome to PF Cheddar!

Please show your work or your thoughts on the problem, then we can assist you :)
 
Try thinking about which equations contain Power, and the significance of her weight and vertical height travelled.
 

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