Multiple-Concept Example 13 presents a model for solving this type of problem. A

Question

Multiple-Concept Example 13 presents a model for solving this type of problem. A 59-kg water skier is being pulled by a nylon (Young?s modulus 3.7 x 10^9 N/m2) tow rope that is attached to a boat. The unstretched length of the rope is 17 m and its cross-section area is 3.0 x 10^5 m2. As the skier moves, a resistive force (due to the water) of magnitude 110 N acts on her; this force is directed opposite to her motion. What is the change in length of the rope when the skier has an acceleration whose magnitude is 0.84 m/s^2? Number _________ Units __________ the tolerance is +/-3%

Explanation / Answer

total tension on the rope=59*0.84+110=159.56 N

so using F=Y*A*l/L

where l is the change in length;
we get
l=24.4 mm

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