One model that is used for the interactions between animals, including fish in a school, is that the fish have an energy of interaction that is given below by a Morse potential. The fish will attract or repel each other until they reach a distance that minimizes the function V(r). The coefficients A and a are positive numbers. Complete parts (a) through (c). V(r)=e^-r -Ae^-ar, r>0 Find the value of r that minimizes V(r).

One model that is used for the interactions between animals, including fish in a school, is that the fish have an energy of interaction that is given below by a Morse potential. The fish will attract or repel each other until they reach a distance that minimizes the function V(r). The coefficients A and a are positive numbers. Complete parts (a) through (c). V(r)=e^-r -Ae^-ar, r>0 Find the value of r that minimizes V(r).

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.47P: Consider a particle moving in the region x > 0 under the influence of the potential where U0 = 1 J...

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