Abungee 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, x=− (see below). suppose a particular bungee cord has a spring constant, for 0≤x≤4.88m , of =204n/m and for 4.88m≤x , of =111n/m. (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)? (b) how much work must be done against the elastic force of the bungee cord to stretch it 16.7 m?