The figure shows an approximate plot of stress versus strain fora spider-web thread, out to the point of breaking at a strain of2.05. The vertical axis scale is set by a = 0.130GN/m2,b = 0.460 GN/m2, andc = 0.840 GN/m2. Assume that the thread has aninitial length of 0.780 cm, an initial cross-sectional area of 8.00× 10-12 m2, and (during stretching) aconstant volume. The strain on the thread is the ratio of thechange in the thread's length to that initial length, and thestress on the thread is the ratio of the collision force to thatinitial cross-sectional area. Assume also that when the singlethread snares a flying insect, the insect's kinetic energy istransferred to the stretching of the thread. a) How much kineticenergy would put the thread on the verge of breaking? What is thekinetic energy of b) a fruit fly of mass 6.50 mg and speed 1.90 m/sand c) a bumble bee of mass 0.400 g and speed 0.360 m/s? Would d)the fruit fly and e) the bumble bee break the thread?
The graph shows a= 0.700, b= 1.40, c= 2.05.
