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finalsoln_08

# finalsoln_08 - Physics 9B-C Final Exam Solutions Cole UC...

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Phy 9B-C, Final Solutions Page 1 of 2 12/9/08 Physics 9B-C Final Exam Solutions Cole, UC Davis 20 points per problem/180 points total [1] (a) isochoric (b) red (c) left (d) 3 (e) False (f) virtual (g) top (h) both of the above (i) increase (j) increase. [2] (20 pts) Method 1: Start by applying the derivatives and using the chain rule. Let u   =    x    +    vt: y x = dy du u x = dy du so that 2 y x 2 = d du y x u x = d 2 y du 2 Similarly for dt, y t = dy du u t = + v dy du so that 2 y t 2 = d du y t u t = v 2 d 2 y du 2 Plugging into the wave equation: 2 y t 2 v 2 2 y x 2 = 0 õ v 2 d 2 y du 2 v 2 d 2 y du 2 = 0 which is 0. Method 2: The first order wave equation for waves moving to the left is y t v y x = 0 , and is easier to use. If y is a solution to this equation, it will also be a solution to the wave equation. Making the same substitution as above for u: y x = dy du u x = dy du and y t = dy du u t = + v dy du Plugging into y t v y x = 0 õ v dy du v dy du = 0 . which is 0. [3] 1) Twice the amplitude is the total variation in height 2 A = (5 m - 4 m) = 1m õ A = 0.5 m. 2) is halfway between 4 m and 5 m so = 4.5 m. 3) For the x axis set the zero point at the end of the pier with the positive direction toward shore.

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finalsoln_08 - Physics 9B-C Final Exam Solutions Cole UC...

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