p1sol - Physics 21 Problem Set 1 Solutions Richard Eager...

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Unformatted text preview: Physics 21 Problem Set 1 Solutions Richard Eager Department of Physics University of California; Santa Barbara, CA 93106 Problem 1 (a,b)- 2- 1 1 2 3 North( y )- 1 1 2 3 East ( x ) ( A x , A y ) ( B x , B y ) Figure 1: Vectors ~ A and ~ B (c) A x = 3cos45 2 . 12 A y = 3sin45 2 . 12 1 (d) A x = cos45 . 71 A y = sin45 . 71 (e) South-Southwest is halfway between Southwest (225 ) and South (270 ), so it is at (225 + 270) / 2 = 247 . 5 degrees. B x = 2cos247 . 5 - . 77 B y = 2sin247 . 5 - 1 . 84 B x = cos247 . 5 - . 38 B y = sin247 . 5 - . 92 (f,g) 1 2 3 North( y ) 1 2 3 East ( x ) A B A + B Figure 2: Vectors ~ A and ~ B summed using tip-to-tail method 2 ( A + B ) x 2 . 12- . 77 = 1 . 35 ( A + B ) y 2 . 12- 1 . 84 = 0 . 28 (h) 1 2 3 4 North( y ) 1 2 3 East ( x ) A B A- B Figure 3: ~ A minus ~ B using tip-to-tail method ( A- B ) x 2 . 12- (- . 77) = 2 . 89 ( A- B ) y 2 . 12- (- 1 . 84) = 3 .....
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This note was uploaded on 08/06/2008 for the course PHYS 31 taught by Professor Nelson during the Winter '06 term at UCSB.

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p1sol - Physics 21 Problem Set 1 Solutions Richard Eager...

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