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

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To calculate the power used by a 50 kg boy running up a 10 m flight of stairs in 7 seconds, the relevant equations are F=ma, W=Fd, and P=W/T. The boy's speed is 10 m/7 s, which is approximately 1.43 m/s, not acceleration. The force exerted is based on weight, calculated as F=ma, leading to a work done of W=Fd. The power output is then calculated as P=W/T, resulting in a power of approximately 10.21 watts. The discussion highlights the need to focus on energy gains rather than forces for this type of problem.
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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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