Work input/output, efficient probelm, just need someone to check my work

[KatieLynn]

Work input/output, efficient probelm, just need someone to check my work :)

Homework Statement

Because there is very little friction, the lever is an extremely efficient simple machine. Using a 90% efficient lever, what input work is required to lift an 18kg mass through a distance of 0.5m?

Homework Equations

(Fout/Fin)/(Din/Dout)

The Attempt at a Solution

(Fout/Fin)/(Din/Dout)
(176.6N/Fin)/(Din/.5m)=.9

so you get (Fin)(Din)=98.1 which FD is work so 98.1J is the answer correct?

 

[Galileo's Ghost]

Well, I do not quite understand (Fout/Fin)/(Din/Dout) as being an "equation". There is no = sign!

That said, when I work the problem, my answer matches yours. I think you mean to write (Fout/Fin) = (Din/Dout), which is legitimate!

 

[ogb p]

Your calculations and use of the equation seem to be correct. However, it would be helpful to include the units in your final answer (98.1J) to make it clear that it represents work. Additionally, it may be beneficial to explain your reasoning and show your work in more detail to demonstrate your understanding of the problem. Overall, it appears that you have correctly solved the problem and have a good understanding of the concept of efficiency in simple machines. Great job!