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Notes on Chapter Three

# Notes on Chapter Three - 3.9(contd hs 2 WB Let V A h2 h b2...

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3- 4 3.9 (cont’d) W h s B h b h U 2 After object is jettisoned W A 2 2 Let V A volume of jettisoned object = W g A A U (5) Volume displaced by boat : V A h h d b p b 2 2 2 ± d i (6) Archimedes E U W d B V g W 2 Subst. for V d 2 , solve for h h p b 2 2 ± d i h h W p gA p b B w b 2 2 ± (7) Volume of pond water : V A h V V V A h W p g W p g w p p d A w p p B w A A ± ± ± ± 2 2 5 6 7 2 b g b g b g , & 2 solve for 2 p w B A p h p w p A p V W W h A p gA p gA ² ² (8) ² ² ± for in 7 solve for subst. 8 h h b w p B w p A A p B w b p b h V A W p gA W p gA W p gA 2 2 2 b g b g , (9) ( a) Change in pond level ³ ´ ³ ´ ³ ´ 8 3 2 1 1 1 0 W A A W A A p p p A W A W p W p p W h h A g p p p p gA U U ± µ ± ª º ± ± o µ « » ¬ ¼ the pond level falls (b) Change in boat level h h W A g p A p A p A V A p p A A p p A p A p W p W b A p A W p b 2 1 9 4 5 0 0 1 1 1 1 1 0 ± ± ² L N M M O Q P P F H G I K J ² ± F H G I K J F H G I K J L N M M M M O Q P P P P !

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Notes on Chapter Three - 3.9(contd hs 2 WB Let V A h2 h b2...

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