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# HW1_Sol - 29 s m s m m s m m f 0108 13 2 02 061 35 15 03 1...

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Introductory Calculations I: Solutions Calculate “f” and its uncertainty, watch the units, show your work, please! 1. Calculate ( 29 xy y x f = , x = 48.9 ± 1.3 cm y = 22.21 ± 0.64 cm ( 29 2 1090 21 . 22 , 9 . 48 cm cm cm f = ( 29 y x x y y x y x f + = , , , ( 29 2 60 64 . 0 , 3 . 1 , 21 . 22 , 9 . 48 cm cm cm cm cm f = _________________________________________________________________________ 2. Calculate ( 29 x z z x f = , x = 35.2 ± 3.1 cm z = 61 ± 2 s ( 29 cm s s cm f 7 . 1 61 , 2 . 35 = ( 29 z x x x z z x z x f + = 1 , , , 2 ( 29 cm s s cm s cm f 2 . 0 2 , 1 . 3 , 61 , 2 . 35 = __________________________________________________________________________ _ 3. Calculate ( 29 z y x z y x f - = , , x = 42.3 ± 6.1 cm y = 1.03 ± .02 m z = 15.35 ± 2.13 s ( 29 s m s m m f 0395 . 0 35 . 15 , 03 . 1 , 423 . 0 - = ( 29 z z y x y z x z z y x z y x f - + + = 2 1 1 , , , ,

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Unformatted text preview: 29 s m s m m s m m f 0108 . 13 . 2 , 02 . , 061 . , 35 . 15 , 03 . 1 , 423 . = ∆ __________________________________________________________________________ _ 4. Calculate ( 29 yz x z y x f-= 2 , , x = 25.1 ± 1.2 cm y = 8.35 ± 0.02 cm z = 27.4 ± 1.4 cm ( 29 2 401 4 . 27 , 35 . 8 , 1 . 25 cm cm cm cm f = ( 29 z y y z x x z y x z y x f ∆ + ∆ + ∆ = ∆ ∆ ∆ ∆ 2 , , , , , ( 29 2 72 4 . 1 , 02 . , 2 . 1 , 4 . 27 , 35 . 8 , 3 . 25 cm cm cm cm cm cm cm f = ∆...
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