Calculate Power of 50 kg Boy Running Up 10 m in 7 s

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SUMMARY

The discussion focuses on calculating the power exerted by a 50 kg boy running up a 10 m flight of stairs in 7 seconds. The relevant equations include force (F=ma), work (W=Fd), and power (P=W/T). The correct approach involves calculating the work done against gravity, leading to a power output of approximately 10.21 watts. The initial misunderstanding regarding acceleration was clarified, emphasizing the importance of energy gains over force calculations.

PREREQUISITES
  • Understanding of basic physics concepts such as force, work, and power
  • Familiarity with the equations F=ma, W=Fd, and P=W/T
  • Knowledge of gravitational acceleration (g=10 m/s²)
  • Ability to perform unit conversions and basic arithmetic operations
NEXT STEPS
  • Study the concept of gravitational potential energy and its calculation
  • Learn how to derive power from energy changes in various physical scenarios
  • Explore the relationship between work, energy, and power in different contexts
  • Investigate real-world applications of power calculations in sports science
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding energy dynamics in physical activities, particularly in sports and exercise science.

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Homework Statement


At what rate is a 50 kg boy using energy when he runs up a flight of stairs 10 m high, in 7 s? Provide answer in watts. (Hint: Rate of change of energy is power) Use g=10 m/s2.


Homework Equations


F=ma
W=Fd
P=W/T



The Attempt at a Solution


10/7 = .143 = A
F = MA, so F = .143*50 = 7.15
W = FD, so W = 7.15 *10
P = W/T, so P = 71.5/7

Is that right? Am I using the correct acceleration and distance and time, or is there more complicated math involved than I thought?
 
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Hi,

"10/7 = A"

10 is a distance in metres
7 is a time in seconds

so 10/7 is in metres per second. NOT an acceleration!

Think about energy gains, not forces etc (i.e. not f=ma etc)

Cheers
 
I don't know how to do energy gains...
 

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