Calculating Cat Power: How to Find Horsepower Output

AI Thread Summary
To calculate the average power output of a cat leaping to a 97.0-cm-high table, the gravitational potential energy (P.E.) is first determined using the formula P.E. = mgh, resulting in 42.777 joules. The average power output during the push-off period of 0.230 seconds is then calculated by dividing the energy by time, yielding 185.987 watts. Converting watts to horsepower involves dividing by 746, resulting in approximately 0.249 horsepower. The calculations demonstrate the relationship between mass, height, and power output in this scenario. This problem illustrates the application of physics equations in real-life situations.
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Homework Statement


A 4.50 cat leaps from the floor to the top of a 97.0-cm-high table. If the cat pushes against the floor for 0.230 to accomplish this feat, what was her average power output during the pushoff period? Answer in terms of horsepower.


Homework Equations


W = Fdx
F = ma


The Attempt at a Solution


I'm not even sure where to start
 
Last edited:
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How much energy did the push give the cat? Do you know the equation for gravitational potential energy?
 
No, I"m not sure what the equation for gravitational potential energy is...
 
nevermind! I figured it out!

P.E. = 9.8(4.5)(.97) = 42.777J

42.777/.23 = 185.987W

& 746W = 1hp

185.987/746 = .249hp
 

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