Tarzan, who weighs 917 N, swings from a vine through the jungle. How much work is done by the tension in the vine as he drops through a vertical distance of 3.85 m?

Simply calculating;

W=(917N)*(3.85m)= 3530.45 J

Isn't working, I'm not sure how to apply the work equation.

3 answers

Zero
The tension in the vine is perpendicular to the motion at every point of the path so the vine does NO work. The kinetic energy at the bottom is equal to m g times the drop distance.
To emphasize because this is vital:
Work done = force component IN THE DIRECTION OF MOTION times the distance moved.
Zero