33-02fin_1 - Physics 33 Final Wednesday Dec 11 2002 Name...

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Physics 33 Final Name ____________________________________ Wednesday Dec. 11, 2002 This test is closed book, closed notes. No calculators, please. You may use a 3” by 5”, handwritten note card. If any numerical values are given in a problem, a numerical answer is expected. Leave any π ’s in answers as π . Use these sine and cosine values if needed, and note that tan( θ ) = sin( θ )/cos( θ ): θ sin( θ ) cos( θ ) θ sin( θ ) cos( θ ) 30 .5 .9 53 .8 .6 45 .7 .7 60 .9 .5 For full credit, you must explain or show how your answers are obtained. Do not state the result of a homework, in-class, or textbook problem without proof! What to do if you run out of room on a page : FLIP your test and write on the back. (Which means you shouldn’t write on the back of the page on which you just ran out of room!) This test consists of 7 numbered questions on 8 pages! This cartoon is copyright protected and reproduced without permission under a claim of fair use. 1
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Physics 33 Final Name ____________________________________ Wednesday Dec. 11, 2002 1) (15 points) Each of these problems involves a spherical mirror. The center of the spherical surface is shown as point C, and in each case, an arrow serves as the object. In each case, the arrow is on the reflective side of the mirror. Draw carefully! a) Draw at least three light rays on this diagram to help determine where the image is formed, and draw the image.
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