No, the issue isn’t the slopped distance, since the extra length is canceled by the reduced amount of force against gravity in the travel. Consider walking up a gradual hill versus an overhead lift. Obviously we are considering a perfect ideal system, rather than inefficiencies of the human body. But it is wrong since the gravitational force is g*m. g~9.8 m/s^2 or ~10 to make it easy. So the work is 100 N*m or 100 J. (N = m*kg / s^2)
No, the issue isn’t the slopped distance, since the extra length is canceled by the reduced amount of force against gravity in the travel. Consider walking up a gradual hill versus an overhead lift. Obviously we are considering a perfect ideal system, rather than inefficiencies of the human body. But it is wrong since the gravitational force is g*m. g~9.8 m/s^2 or ~10 to make it easy. So the work is 100 N*m or 100 J. (N = m*kg / s^2)