Don't look down

Classical Mechanics Level 2

A 80 kg climber is standing horizontally on a perfectly vertical cliff face as shown in the picture. The climber is 1.8 meters tall and is attached by a 2-meter-long rope fastened around the climber's middle to a point on the cliff above him. What is the normal force the cliff face exerts on the climber in Newtons?

Details and assumptions

The climber is not moving.
The acceleration of gravity is \(-9.8\text{ m/s}^2\).
The center of mass of the climber is at the point where the rope meets their body.

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