Think about you just said: Kafter < Kbefore ∴ Kafter - Kbefore < 0, if ΔK < 0 then ΔU > 0, right? So what does it means? It means that when the variation of kinetic energy decrease then the variation of potential energy will increase, because it must conserve energy, just think about the energy...
Well, I just quoted the normal force to clarify that there's no motion in the vertical direction, but anyways, your answer clarified some nebulous doubts I had, I'm going to look forward some exercises now to see if I understood it correctly, thanks for the support.
When we're dealing with conservative forces we know that all the energy before has to be equal to the energy after, that's why they're called conservative forces. Because of that we have
Kbefore + Ubefore = Kafter + Uafter
Kafter - Kbefore = Ubefore - Uafter
ΔK = -ΔU
However, the Work-Energy...
Homework Statement
(i) Suppose there's an object rolling without slipping at any surface.
(ii) Now, let's say a disk is rolling and slipping toward the +x direction
2. The attempt at a solution
(i) If the surface is horizontal then it won't apply any friction force on the object regardless on...