FlipIt for College Physics (Algebra Version - Six Months Access)
FlipIt for College Physics (Algebra Version - Six Months Access)
17th Edition
ISBN: 9781319032432
Author: Todd Ruskell
Publisher: W.H. Freeman & Co
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Chapter 28, Problem 42QAP
To determine

(a)

How many dark matter particles are there in one cubic meter, if the average density of dark matter in our Milky Way galaxy is thought to be about 5 x 1023kg/m3.

To determine

(b)

There are about 2.7 x 1025 molecules per cubic meter in the air around you and a total of about 1019 grains of sands on all the beaches on earth. Relatively speaking, which is more likely: finding a dark matter particle in the air around you, or finding one particular grain of sand somewhere on one of Earth's beaches?

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Solve the linear system of equations attached using Gaussian elimination (not Gauss-Jordan) and back subsitution. Remember that: A matrix is in row echelon form if Any row that consists only of zeros is at the bottom of the matrix. The first non-zero entry in each other row is 1. This entry is called aleading 1. The leading 1 of each row, after the first row, lies to the right of the leading 1 of the previous row.
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