Find the average power Pavg created by the force F in terms of the average speed vavg of the sled.

Complete Question

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The power created  is  

Explanation:

From the question we are told that

    The that the average power is  mathematically represented as

Where W is  is the Workdone which is  mathematically represented as

      Where F is  the applies force and  s  is the displacement  due to the force  

        So  

Now this  displacement can be represented mathematically as  

Where is the average  velocity and is the time  taken  

So  

=>        

Pavg =  Fvavg

Explanation:

Since the P (power) done by the F (force) is:

P = Fs/t

and we are looking for the velocity, so then it would be:

P = Fv

with the average velocity the answer is:

Pavg =  Favg

If an object is moving at a constant speed, and the force F is also constant, this formula can be used to find the average power. If v  is changing, the formula can be used to find the instantaneous power at any given moment (with the quantity v in this case meaning the instantaneous velocity, of course).

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