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# 101022 - ± ± y y x x b a b a b a ab b a = ± = ± ± ±...

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Physics 121 10/22/10 Prof. E. F. Redish 1 10/22/10 1 Physics 121 10/22/10 2 Physics 121 10/22/10 3 Physics 121 a b c d e f 5.1 38% 39% 90% 68% 1% 0% 5.2 52% 7% 4% 95% 10% 16% 5.3 26% 66% 1% 6% 0% 0% 5.4 23% 60% 7% 10% 0% 0%

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Physics 121 10/22/10 Prof. E. F. Redish 2 10/22/10 7 Physics 121 10/22/10 8 Physics 121 m x F t x v x m F x t v m F t v m F a net net net net ± = ± ± ± ± = ± ± ± = ± ± = / 10/22/10 9 Physics 121 x F v v m m x F v v m x F v v v v m x F v v m x F t x v net i f net i f net i f f i net net ± = ² ± = ² ± = ² + ± = ± ± = ± ± ± ) ( ) ( ) ( 2 2 2 2 1 2 2 2 1 Definitions: Kinetic energy = Work done by a force F = Result 2 2 1 mv x F ± x F mv net ± = ± ) ( 2 2 1
Physics 121 10/22/10 Prof. E. F. Redish 3 10/22/10 10 Physics 121 F ± || F ± F s ± ± s F s F s F ± ± ± ² ³ ± = ± = ´ cos Work || 10/22/10 12 Physics 121 F ± || F ± F ± s F s F ± ± ± ² ³ ± || s F s F ± = ± ² ³ cos

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Unformatted text preview: ± ± y y x x b a b a b a ab b a + = ± = ± ± ± ± ± ² cos In general, for any two vectors that have an angle ± between them, the dot product is defined to be The dot product is a scalar. Its value does not depend on the coordinate system we select. 10/22/10 13 Physics 121 h mg s g m s F mv net ± ² = ± ³ = ± ³ = ± ) ( 2 2 1 ± ± ± ± Physics 121 10/22/10 Prof. E. F. Redish 4 10/22/10 14 Physics 121 mgh U mgh mv g = = + ± ) ( 2 2 1 10/22/10 16 Physics 121 10/22/10 17 Physics 121 f f i i mgh mv mgh mv mgh mv + = + = + ± 2 2 1 2 2 1 2 2 1 ) (...
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101022 - ± ± y y x x b a b a b a ab b a = ± = ± ± ±...

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