Modern Physics for Scientists and Engineers
Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 15P

(a)

To determine

The speed of the proton according to the assumption made for planetary model.

(b)

To determine

The total mechanical energy.

(c)

To determine

The mistakes in this model.

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Make the (incorrect) assumption that the nucleus is composed of electrons and that the protons are outside. (a) If the size of an atom were about 10-10 m, what would be the speed of a proton? (b) What would be the total mechanical energy? (c) What is wrong with this model?
Helpful information: (1) An alpha particle is a helium nucleus, (2) e = 1.6 × 10-¹⁹ C, (3) k = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle? (a) 2.3 × 10-10 N (b) 4.6 × 10-¹0 N (c) 2.3 × 10-19 N (d) 4.6 × 10-19 N eplacing the voltage sou the following inst choices below time != 1.00 37 instantaneous current
An iron nail has a mass of 15.0 g. What is the energy (in Joules) that would be required to break all the iron nuclei into their constituent protons and neutrons? Ignore the energy that binds the electrons to the nucleus and the energy that binds one atom to another in the structure of the metal. For simplicity, assume that all the iron nuclei are 56 Fe (atomic mass = 55.934 939 u).
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