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Q. 41

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 229

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Short Answer

A kg human sprinter can accelerate from rest to m/s in s. During the same time interval, a kg greyhound can go from rest to m/s. What is the average power output of each? Average power over a time interval is

Average power output of sprinter is and of greyhound is .

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Step by Step Solution

Step 1: Concept

Concept:The K.E. of an object moving with velocity is Here is that the mass of the thing.The average output is calculated by dividing the ultimate mechanical energy by the quantity of your time it took to induce that energy:Here is that the time.Substitute the expression for K.E. within the above equation.

Step 2: Typical Power

In the case of the sprinter, the typical power output is:Substitute for mass, for speed and for time.

Step 3. Average power output 

The greyhound's average power output is:

Substitute for mass, for speed, and for time.

So, the greyhound is truly outputting more average power than the sprinter in this period of timel

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