The figure below shows one direct path and four indirect paths from point/to poi

Question

The figure below shows one direct path and four indirect paths from point/to point f. Along the direct path and three of the indirect paths, only a conservative force F_c acts on a certain object. Along the fourth indirect path, both F_c and a nonconservative force F_nc act on the object. The change DeltaE_mec in the object's mechanical energy (in joules) in going from i to f is indicated along each straight-line segment of the indirect paths. What is DeltaE_mec from i to f along the direct path? J What is DeltaE_mec due to F_nc along the one path where it acts? J

Explanation / Answer

part a )

12 J.

The three indirect paths each have a change in mechanical energy of 12 J. We know that since the force acting over the direct path is conservative it must have the same change in energy.

part b )

-2J

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