Ch $22$:$40$

Atomic physicists ignore the effect of gravity within an atom. To see why, calculate the gravitational and electrical forces between an electron and a proton separated by $10-10$ m$.$

To compare the gravitational and electrical forces compute the following ratio,

where

qe $=-$qp $=1\mathrm{.}6$ x $10-19$ C $($charge of electron and proton, use the positive value for both$)$

me $=9\mathrm{.}1$ x $10-31$ kg $($mass of electron$)$

mp $=1\mathrm{.}7$ x $10-27$ kg $($mass of proton$)$

G $=6\mathrm{.}7$ x $10-11$ N m$2/$kg$2($gravitational constant$)$

k $=9\mathrm{.}0$ x $109$N m$2/$C$2($Coulomb$\text{'}$s constant$).$

NOTE: When submitting your numerical answer ignore the negative sign and use the following exponential notation for powers of $10.$ For $10^3$ enter $1$e$3,$ for $10^-3,$ enter $1$e$-3.$