Answered: 4. Consider an object of mass 52.7 kg…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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4. Consider an object of mass 52.7 kg Assume that it is made up of equal numbers of protons, neutrons, and electrons. and you initially put the boxes of protons and electrons 62 m apart. Now you want to take the two boxes and move them farther apart, to a new distance of 117 m apart. How much work (that is, energy) would you have to expend to pull the boxes that much farther apart, fighting against the electrostatic attraction between them?

		1.74E+27 J
		2.17E+26 J
		4.34E+26 J
		8.68E+26 J

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Step 1

The work done against electrostatic force between two charges q₁ and q₂ to increase their separation from r₁ to r₂ is

$W = k \frac{q_{1} q_{2}}{{r_{1}}^{2}} - k \frac{q_{1} q_{2}}{{r_{2}}^{2}}$

where, $k = 9.0 \times 10^{9} N m^{2} C^{- 2}$ is Coulomb's constant.

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