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2_Physics ProblemsTechnical Physics

2_Physics ProblemsTechnical Physics - 2 Physics and...

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2 Physics and Measurement SOLUTIONS TO PROBLEMS Section 1.1 Standards of Length, Mass, and Time No problems in this section Section 1.2 Matter and Model-Building P1.1 From the figure, we may see that the spacing between diagonal planes is half the distance between diagonally adjacent atoms on a flat plane. This diagonal distance may be obtained from the Pythagorean theorem, L L L diag = + 2 2 . Thus, since the atoms are separated by a distance L = 0 200 . nm , the diagonal planes are separated by 1 2 0 141 2 2 L L + = . nm . Section 1.3 Density and Atomic Mass *P1.2 Modeling the Earth as a sphere, we find its volume as 4 3 4 3 6 37 10 1 08 10 3 6 3 21 3 π π r = × = × . . m m e j . Its density is then ρ = = × × = × m V 5 98 10 1 08 10 5 52 10 24 21 3 3 3 . . . kg m kg m . This value is intermediate between the tabulated densities of aluminum and iron. Typical rocks have densities around 2 000 to 3 000 3 kg
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