Final answer:
The climber does 22,575 joules of work lifting herself and the backpack.
Step-by-step explanation:
To calculate the work done by the climber in lifting herself and the backpack, we can use the formula: work = force × distance.
The weight of the climber and the backpack can be calculated by multiplying the mass by the acceleration due to gravity (9.8 m/s²). So the weight is 645 N.
Assuming the climber lifts herself and the backpack vertically, the distance lifted is the same as the height she climbs.
Work = 645 N × 35.0 m = 22,575 J.
Therefore, the climber does 22,575 joules of work lifting herself and the backpack.