Finding work with given horsepower

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AI Thread Summary
The discussion revolves around calculating how high an electric motor can lift a crate based on its horsepower output. The motor's output is converted from ferretpower to horsepower, resulting in 8,580 hp, which is then converted to watts. The weight of the crate is determined to be 40.1 kg, leading to a calculation of work done in lifting the crate. The final height calculated is 81,405 meters. The accuracy of the motor's horsepower and the validity of the teacher's numbers are questioned, indicating potential discrepancies in the problem setup.
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Homework Statement


If one ferretpower (fp, made-up unit) is equal to 0.0312 hp, and an electric motor puts out 2.75 x 10^5 fp, how high (in meters) can it lift a crate that has a mass of 2.75 slugs in 5 s?

Homework Equations


P = W/t W = mgh
1 hp = 745.7 watts
1 slug = 14.59 kg

The Attempt at a Solution


Converted fp to hp to get 8,580 hp. Converted hp to watts to get 6,398,106 watts. Found weight of crate to be 40.1 kg. Used W = Pt to get 31,990,530 J. Used W/mg = h to get my final answer of 81,405 m. Is this the same answer you got?
 
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what is your question? Your process looks correct but do you really have a 8580 hp motor?
 
My teacher's numbers tend to be quite stupid. Thanks for the reply.
 
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