Find a numerical value for ρearth, the average density of the earth in kilograms per cubic meter. use 6378km for the radius of the earth, g=6.67×10−11m3/(kg⋅s2), and a value of g at the surface of 9.80m/s29.80m/s2.

5501 kg/m^3

Explanation:

The value of g at the Earth's surface is

where G is the gravitational constant

M is the Earth's mass

is the Earth's radius

Solving the formula for M, we find the value of the Earth's mass:

The Earth's volume is (approximating the Earth to a perfect sphere)

So, the average density of the Earth is

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