ch21-p053 - 53. (a) The magnitudes of the gravitational and...

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According to Appendix C of the text, M = 5.98 × 10 24 kg, and m = 7.36 × 10 22 kg, so (using 4 πε 0 = 1/ k ) the charge is q = ×⋅ × × 6 67 10 7 36 10 598 10 899 10 57 10 11 22 24 9 13 .. . . . N m kg kg kg Nm C C. 22 c hc h (b) The distance r cancels because both the electric and gravitational forces are proportional to 1/ r 2 . (c) The charge on a hydrogen ion is e = 1.60 × 10 –19 C, so there must be 13 32 19 5.7 10 C 3.6 10 ions. 1.6 10 C q n e × == = × × Each ion has a mass of i m = 1.67 × 10 –27 kg, so the total mass needed is ()
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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