5_Physics ProblemsTechnical Physics

5_Physics ProblemsTechnical Physics - Chapter 1 P1.12 (a) F...

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Chapter 1 5 P1.12 (a) The mass of one molecule is m 0 27 26 18 0 166 10 299 10 = × F H G I K J . . . u kg 1 u kg . The number of molecules in the pail is N m m pail kg 2.99 kg molecules == × 0 26 25 120 10 402 10 . .. (b) Suppose that enough time has elapsed for thorough mixing of the hydrosphere. NN m M both pail pail total 25 (4.02 10 molecules) kg kg = F H G I K J × F H G I K J 132 10 21 . . , or N both molecules 365 10 4 . . Section 1.4 Dimensional Analysis P1.13 The term x has dimensions of L, a has dimensions of LT 2 , and t has dimensions of T. Therefore, the equation xk a t mn = has dimensions of LL T T = 2 ej af m n or L T L T 10 2 = mn m . The powers of L and T must be the same on each side of the equation. Therefore, 1 = m and m = 1.
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