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quiz2_sp10_sol - Physics 101 Classical Physics Spring 2010...

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Physics 101 Classical Physics Spring 2010 Quiz 2 Instructions : The answer sheets must be handed in as soon as time is called. You have until 9:20am. Answer the following two multiple choice questions. Each question is worth 5 points. 1. Vector vector A = 2 ˆ i - 3 ˆ j , and vector vector B = - 1 ˆ i + 4 ˆ j . If vector C = vector A + vector B , what is | vector C | ? (a) 4, (b) 13 + 5 , (c) 2 , (d) 58 , (e) 10 We need to first add the vector components to get vector C : vector C = (2 - 1) ˆ i + ( - 3 + 4) ˆ j = 1 ˆ i + 1 ˆ j To get the magnitude, we use the Pythagorean theorem: | vector C | = 1 2 + 1 2 = 2 so the answer is c . 2. The largest the sum of any two vectors can be is when: (a) They point in the same direction (b) They point in opposite directions (c) They are at right angles to each other (d) They have the same magnitude (e) Depends on the magnitude of each vector When vectors point in the same direction, their magnitudes add and therefore that is the biggest the sum can be. So the answer is a .
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