CHAPTER 3 - 3 - 10. The vectors are V 1 = 6.0 i + 8.0 j , V...

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Unformatted text preview: 10. The vectors are V 1 = 6.0 i + 8.0 j , V 2 = 4.5 i 5.0 j . ( a ) For the magnitude of V 1 we have V 1 = ( V 1 x 2 + V 1 y 2 ) 1/2 = [( 6.0) 2 + (8.0) 2 ] 1/2 = 10.0 . We find the direction from tan 1 = V 1 y / V 1 x = (8.0)/( 6.0) = 1.33. From the signs of the components, we have 1 = 53 above x-axis . ( b ) For the magnitude of V 2 we have V 2 = ( V 2 x 2 + V 2 y 2 ) 1/2 = [(4.5) 2 + ( 5.0) 2 ] 1/2 = 6.7 . We find the direction from tan 2 = V 2 y / V 2 x = ( 5.0)/(4.5) = 1.11. From the signs of the components, we have 2 = 48 below + x-axis . ( c ) For the sum V 1 + V 2 we have V 1 + V 2 = 1.5 i + 3.0 j . For the magnitude of V 1 + V 2 we have V 1 + V 2 = [( 1.5) 2 + (3.0 + (3....
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This note was uploaded on 03/08/2010 for the course PHYSICS 7A/7B taught by Professor All during the Fall '08 term at University of California, Berkeley.

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CHAPTER 3 - 3 - 10. The vectors are V 1 = 6.0 i + 8.0 j , V...

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