College Physics
College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
Question
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Chapter 27, Problem 40P

(a)

To determine

The kinetic energy of a non-relativistic particle in terms of its momentum.

(b)

To determine

The minimum kinetic energy of proton.

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Show that the kinetic energy of a nonrelativistic particle can be written in terms of its momentum as KE = p2/2m. (b) Use the results of part (a) to find the minimum kinetic energy of a proton confined within a nucleus having a diameter of 1.0 x 10-15 m.
Consider a model of an electron as a hollow sphere with radius R and the electron charge -e spread uniformly over that surface. d. Use Einstein’s equation relating rest mass to energy to derive a value for R. Unfortunately, your answer will be model-dependent. The traditional “Classical radius of the electron” is derived by setting the electrostatic work to be e2/(4pi e0 R)
What is the relation between the de Broglie wavelength λ, mass m, and kinetic energy K for (a) a lowenergy proton, and (b) a very high energy proton?
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