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Practice Solutions

Practice Solutions - Physics-7A Practice Problems Solutions...

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Physics-7A Practice Problems: Solutions 1. a) 9 b) 6 c) 10 d) 2 e) 1 f) 5 g) 4 h) 7 i) 8 j) 3 2. Using the conservation law: E total = constant = PE spring + PE gravity + KE a) Point PE spring PE gravity KE E total 1 0J 0.51J 1.0J 1.51J 2 0J 0J 1.51J 1.51J 3 1.51J 0J 0J 1.51J 4 0J 1.51J 0J 1.51J b) v = 6.14m/s c) x = 0.11m = 11cm. d) h = 1.926m. The answer only depends on the total energy, given by the initial height and speed. If k was changed, this answer would be the same. e) E total KE PE Force Arows 11cm 1.51J Energy x (2) (3): Note that only the half of the parabola with x > 0 is drawn. This is because when the graph is to the left of point (2) it is not touching the spring. 3. Using the particle model of bond energy, ε = Q/( 5 · N A ) = 2.3·10 -23 J. 4. a) Volume is constant. b) Pressure is constant c) U = 0 Also, Q = T S when temperature is constant.
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5. From the graph, CH 4 has 15 total modes at 1000K. There must be 3 translational modes and 3 rotational modes (methane is not linear), so the number of vibrational modes is 9. Then we have: E vibrational /molecule = (9/2)· k B T = 6.21·10 J B -20 E
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