0.145 kg and radius rh = 0.0369 m. If the baseballs ated uniformly throughout the universe, what number densi lls would be required to make the density equal to the cr ? (Assume nonrelativistic baseballs.) Given this densit ls, how far would you be able to see, on average, before you t intersected a baseball? In fact, we can see galaxies at a dis -4000 Mpc; does the transparency of the universe on this l
0.145 kg and radius rh = 0.0369 m. If the baseballs ated uniformly throughout the universe, what number densi lls would be required to make the density equal to the cr ? (Assume nonrelativistic baseballs.) Given this densit ls, how far would you be able to see, on average, before you t intersected a baseball? In fact, we can see galaxies at a dis -4000 Mpc; does the transparency of the universe on this l
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Transcribed Image Text:4.4 Suppose that the universe were full of regulation baseballs, each of mass
mpb = 0.145 kg and radius rpb = 0.0369 m. If the baseballs were
distributed uniformly throughout the universe, what number density of
baseballs would be required to make the density equal to the critical
density? (Assume nonrelativistic baseballs.) Given this density of
baseballs, how far would you be able to see, on average, before your line
of sight intersected a baseball? In fact, we can see galaxies at a distance
c/Ho - 4000 Mpc; does the transparency of the universe on this length
scale place useful limits on the number density of intergalactic
baseballs? (Note to readers outside North America or Japan: feel free to
substitute regulation cricket balls, with mer = 0.160 kg and rer = 0.0360
m.)
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