Question
Dr. Sehr Verruckt has done it again the Laboratoria Absurda. He is studying the interacting forces of the nucleons inside his crazium, 118Cz294 nucleus. He is claiming that the attractive force between nucleons inside his created element is given as F(r) = alpha e-beta r/r3 where alpha = 1, beta = .001, and r in the unit of Fermi (fm). The force is measured in the unit of Verruckt. Now, how much energy, in the unit of Verruckt-Fermi, is needed to pull two of his nucleons apart from 0.5 Fermi to a distance of 5 Fermisi? Can you describe the amount of energy need as they distance apart from each other? Well, an analytical solution may not be viable at this point. How about a numerical one?
Explanation / Answer
analytical solution will be given with thwehelp of beta and gamma function. just put the value of distance and subtract it and get ur answer