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23 Nov 2019

1. A stunt man is suppose to perform a stunt in which he must jumpfrom the flat rooftop of one building to the floor of anotherlocated 5.0m below the level f the first one. The horizontalseparation between the building is 10m. The stunt man can bringhimself to a speed of 7.0m/s and he intends to jump so that hisinitial velocity is horizontal. Should he jump? base answer on aquantitative assessment, assuming that the stunt man can be treatedas a massive point particle and the air resistance isnegligible.


2. Tarzan grabs a rope hanging from a tree, while running at aspeed of v=5.0m/s. He then swings up along an arc and releases therope when he has reached his maximum elevation. At this point hisspeed is instantaneously zero and the rope makes an angle of 30degrees with respect to the vertical. Tarzan is safe since he drvesin the lake below. Assume that the mass of Tarzan is 82.0kg and thelength of the rope is 8.0m. Ignore air resistance and treat Tarzanasa point-particle attached to the end of the rope. Find thetension force in the rope at two moments:
(a) when Tarzan first grabs the rope (assuming his feet are off theground)

(b) the moment he is at his highest elevation just before he jumps.At which point is the rope likely to snap?

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