- Calculating the amount of work to do push-ups starting at an angle rather than from horizontal.
Main Question or Discussion Point
Push-ups take a certain amount of work. If starting from a 45 degree angle instead of from a zero degree angle (the ground), my calculation shows it requires 1/√2 the amount of work. If the relative movement of the body, remaining stiff, is the same, the center of mass moves a certain height. Starting from 45 degree incline and going through the same relative motion, the center of mass goes up 1/√2 as much. So the net work is 1√2 m g h. Note, doing 45 degree push-ups seems a lot easier which makes me wonder if there might be other factors involved not directly related to work done in physics terms. Please correct me if I've missed something obvious in this simple calculation. Thanks.