Question
A bungee cord is essentially a very long rubber band that can stretch up to four times its unstretched length. However, its spring constant varies
A bungee cord is essentially a very long rubber band that can stretch up to four times its unstretched length. However, its spring constant varies over its stretch [see Menz, P.G. "The Physics of Bungee Jumping." The Physics Teacher (November 1993) 31: 483-487]. Take the length of the cord to be along the x-direction and define the stretch x as the length of the cord l minus its un-stretched length ; that is, (see below). Suppose a particular bungee cord has a spring constant, for 0x4.88m, of (Recall that the spring constant is the slope of the force F(x) versus its stretch x.) (a) What is the tension in the cord when the stretch is 16.7 m (the maximum desired for a given jump)?
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