Finding work with given horsepower

[joel amos]

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?

 

[RTW69]

what is your question? Your process looks correct but do you really have a 8580 hp motor?

 

[joel amos]

My teacher's numbers tend to be quite stupid. Thanks for the reply.