Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.
• If there were no nuclear attraction, what would be the acceleration of either of two protons released at a separation of 4 fm? Compare your answer with g, the acceleration of gravity. (As large as your answer is, it is still small compared to nuclear accelerations. See Problem 1.)
Problem 1
•• A representative value for the kinetic energy of a nucleon in a nucleus is 20 MeV To illustrate the great strength of the nuclear force, do the following classical calculation: Suppose that a nucleon in a nucleus oscillates in simple harmonic motion with amplitude about 4 fm and peak kinetic energy 20 MeV. (a) Find its maximum acceleration. (b) By how many orders of magnitude does this exceed the acceleration of gravity, g? (c) Find the force required to produce this acceleration.
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