Question

To hoist himself into a tree, a 71.0-kg man ties one end of a nylon rope around his waist and throws the other end over a branch of the tree. He then pulls downward on the free end of the rope with a force of 367 N. Neglect any friction between the rope and the branch, and determine the man's upward acceleration.

Answer 1

Use
(net Force) = ma
and figure out the upward force F applied by the rope on the climber's hands. The NET force on the climber is more than F. Can you see why?

Answer 2

5.17