Estimate, how strong must be the strong force (=nuclear force) - say, in order t

Question

Estimate, how strong must be the strong force (=nuclear force) - say, in order to be able to hold the protons in an He nucleus? It must be at least stonger than the electrostatic (Coulomb) repulsion of protons, which is as strong as: F=______________ N=__________________ lb. Assume that the distance between the proton center is of the order of half of the diameter of an He nucleus itself (the nucleus of He is about 1.90 fm in diameter as found from numerous experiments by scattering high energy electrons on nuclei)

3). Estimate, how strong must be the strong force nuclear force) say, in order to be able to hold the protons in He nucleus? It must be at least stronger than the electrostatic (Coulomb) repulsion of protons, lb. Assume that the distance between the which is as strong as: F proton centers is of the order of the half of the diameter of He nucleus itself (the nucleus of He is about 1.90 fm in diameter as found from numerous experiments by scattering high energy electrons on nuclei). 4). Estimate the magnitude of the energy involved in nuclear transformations nuclear reactions). It can be done as follows. Energy is work, work is force times distance. Estimate (say, for He nucleus) how much work would the Coulomb force (the magnitude of which you have estimated in the previous problem) do by moving a proton over the distance equal to the size of He nucleus: W MeV. Small amounts of energy which atomic and nuclear physics deals with are usually measured in electronvolts, 1 ev» -19 J 1.6x10

Explanation / Answer

coulomb force f = kq1q2/d^2

q1=q2 = 1.6*10^-19 C

d = 1.9fm/2 = 0.95*10^-15 m

f = 9*10^9*1.6^2*10^-38/0.95^2*10^-30 = 255.3 N = 57.39 lb

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