I know that the idealized problem using gears and force without considering biophysics will tell me there is basically no difference in energy between riding a bike up a hill in low or high gear. I have often wondered which actually uses more calories. Many people tend to go to a lower gear when going up hill. It feels easier. What I wonder is whether it really is easier in the long run. Of course, I am thinking within reasonable parameters so that there would be no physical injury due to putting excessive force on ones joints, etc.