Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with length 20 m that makes an angle of 45∘ with the vertical, steps off his tree limb, and swings down and then up to Jane’s open arms. When he arrives, his vine makes an angle of 30∘ with the vertical. Determine whether he gives her a tender embrace or knocks her off her limb by calculating Tarzan’s speed just before he reaches Jane. You can ignore air resistance and the mass of the vine.

Tarzan will knock her off her limb. (CRASH!)

Explanation:

The difference between a tender embrace or a knock out is derived of a convenient application of the Principle of Energy Conservation, in which a tender embrace mean the absence of kinetic energy and, most specific, speed, when Tarzan arrives to the tree, where Jane is waiting. Tarzan starts at rest. Hence:

The criteria is depicted as follows:

Heights are, respectively:

The final speed is:

Which mean that Tarzan will knock her off her limb. (CRASH!)

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