## Physics: Principles with Applications (7th Edition)

If the mountain has height h and the climber has mass m and weight mg, the amount of work done to lift the climber to the top is mgh. If the entire process requires a time T, then the power supplied is $\frac{mgh}{T}$. Taking more time to do the work in the zigzag path and taking steps that are less steep requires less power output from the climber.