Percentage energy loss (mechanical energy) problem

[poopandpee]

Homework Statement

Problem: An object with mass 2.0 kg slides down a low-friction incline and its speed measured at the bottom is 2.7 m/s. The object starts sliding at a height of 0.50 m over the tabletop and its speed is measured 0.10 m over the tabletop. How big is the percentage energy loss?

Homework Equations

The Attempt at a Solution

My attempt: I've tried using this formula: mgh(0) + W(other forces) = 0.5mv2, where m=2.0 kg, h=0.4 m, and v=2.7 Then I found W(other forces) and divided it by mgh(0). However, that did not give a right answer. Any suggestions?

 

[mfb]

The sign of the energy loss is a bit questionable but overall the approach is good. Maybe some mistake in the calculations? You didn't show them.

 

[CWatters]

Did you remember to multiply by 100 to convert to %?

 

[NateTheGreatt77]

You shouldn't divide by the other work, if your equation above is correct you should subtract mgh(0) to get W alone

 

[haruspex]

You shouldn't divide by the other work, if your equation above is correct you should subtract mgh(0) to get W alone

That appears to be what @poopandpee did before dividing:

Then I found W(other forces)

As others have posted, the method sounds correct, but we need to see the details.