Hydrogen is a flammable, nontoxic, colorless, odorless, andtasteless gas. The U.

Question

Hydrogen is a flammable, nontoxic, colorless, odorless, andtasteless gas. The U.S. produces 100 billion cubic feet per year ofhydrogen for industry and for the space program. A hydrogen atomconsists of an electron (9.11×10–31 kg) and aproton (1.67×10–27 kg). (a) What is the net chargeof a hydrogen atom? (b) Find the ratio of the electric to thegravitational force between the electron and the proton(e 1.60×10–19 C). (c) Suppose weadjusted the mass of the proton so that the ratio is 1. What wouldbe the new mass of the proton? (d) Instead, suppose we adjusted theelementary charge, e, so that the ratio is 1. What wouldbe the new elementary charge?

Explanation / Answer

m = 9.11×10–31 kg, M =1.67×10–27 kg, e =1.60×10–19 C a) e + (-e) = 0 b) ratio r = (ke2/d2)/(GmM/d2) =ke2/(GmM) = 2.27*1039 c) if r' = ke2/(GmM') = 1, then M' = ke2/(Gm)= 3.79*1012 kg d) if r" = ke"2/(GmM) = 1, then e" = (GmM/k) =3.36*10-39 C

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