How to calculate average power in this case?

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To calculate the average power consumed by a runner rising 4.5 meters in 3.5 seconds, the formula P = W/t is used, where W is the work done. Work is defined as W = F.d, but the force (F) requires the mass of the runner to be known, which is missing from the problem. Without the mass, it is impossible to compute the numerical value for average power accurately. The discussion emphasizes the importance of including mass to determine the force acting on the runner. Thus, the calculation cannot proceed without this critical information.
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Homework Statement


A runner is rises up by 4.5 meters in 3.5 seconds, what average power must be consumed?


Homework Equations


P=w/t
w=F.d


The Attempt at a Solution


p=4.5/3.5= 1.28 watt
 
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Average power is work done divided by time taken, as you've correctly written: P = W/t.

But you have substituted in a distance for W; this is incorrect, W is the work done and is measured in joules.

What has the runner done work against? What type of energy has changed?
 
thats exactly what i wanted to ask, as we know w=f.d here we can use d=4.5m but what about F?
 
What force is acting on the runner (there's only one :) )?

I've just realized there's no mass - you can't get a numerical answer without knowing the mass of the runner. Did you not get given a value for the mass?
 
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