Final answer:
The mountain climber does 90,000 Joules of work lifting a force of 900 N over a 100 m vertical displacement. Work is defined as the product of force and displacement (W = Fd).
Step-by-step explanation:
Work is defined as the product of the force applied in the direction of displacement and the displacement itself. If we assume the climber moves in the vertical direction, using the formula W = Fd, where W stands for work, F is the force, and d is the displacement (the height of the cliff), we can find the work done. The given force is 900 N, and the displacement is 100 m, so the work done by the mountain climber would be: W = Fd = (900 N)(100 m) = 90,000 Joules. Therefore, the mountain climber does 90,000 Joules of work to scale the 100 m cliff.