Suppose that the universe were full of spherical objects, each of mass m and radius r . If the objects were distributed uniformly throughout the universe, what number density (#/m3) of spherical objects would be required to make the density equal to the critical density of our Universe? Values:  m = 4 kg r = 0.0407 m Answer must be in scientific notation and include zero decimal places (1 sig fig --- e.g., 1234 should be written as 1*10^3)

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Suppose that the universe were full of spherical objects, each of mass m and radius r . If the objects were distributed uniformly throughout the universe, what number density (#/m3) of spherical objects would be required to make the density equal to the critical density of our Universe?

Values: 

m = 4 kg

r = 0.0407 m

Answer must be in scientific notation and include zero decimal places (1 sig fig --- e.g., 1234 should be written as 1*10^3)

Expert Solution
Concept and Principle:

Critical density is the average density required for the universe to halt its expansion. Such a universe is said to be flat. It is given by,

ρc=3H28πG

Here H is the Hubble constant and G is Newton’s gravitational constant.

 

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