Conservative forces are forces that do not lose energy to processes like friction and radiation and where the total mechanical energy is conserved. Which statement best explains why the work done by a conservative force on an object does not depend on the path the object takes?

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Conservative forces are forces that do not lose energy to processes like friction and radiation and where the total mechanical energy is conserved. Which statement best explains why the work done by a conservative force on an object does not depend on the path the object takes?