A theoretical formula for the potential energy associated with the nuclear force between two protons, two neutrons, or a neutron and a proton is the Yukawa potential Where U 0 and a are constants (a) Sketch U versus x using U 0 4 pJ (a picojoule, pJ, is 1 10 12 J) and a 2 5 fm (a femtometer, fm, is 1 10 15 m) (b) Find the force F x (c) Compare the magnitude of the force at the separation x 2a to that at x a (d) Compare the magnitude of the force at the separation x 5a to that at x a a x a U Uo

Question: A theoretical formula for the potential energy associated with the nuclear force between two protons, two neutrons, or a neutron and a proton is the

A theoretical formula for the potential energy associated with the nuclear force between two protons, two neutrons, or a neutron and a proton is the Yukawa potential:

a -x/a U =-Uo

Where U₀ and a are constants.

(a) Sketch U versus x using U₀ = 4 pJ (a picojoule, pJ, is 1 × 10^-12J) and a = 2.5 fm (a femtometer, fm, is 1 × 10^-15 m).

(b) Find the force F_x.

(d) Compare the magnitude of the force at the separation x = 5a to that at x = a.

a -x/a U =-Uo

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