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PHY2048_Fall09_Homework_Set12

PHY2048_Fall09_Homework_Set12 - PHY2048 Fall 2009 Homework...

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PHY2048 Fall 2009 Homework Set 12 Solutions University of Florida Page 1 of 3 Department of Physics PHY 2048 Homework Set 12 Solutions (Chapters 14) Problem 14-3*: The net force on the window is given by N atm m N atm atm m m P P A F out in net 4 2 5 10 885 . 2 1 / 10 01 . 1 ) 96 . 0 0 . 1 )( 4 . 3 )( 1 . 2 ( ) ( × = × - = - = Problem 14-22**: The pressure at a depth y from the surface due to the water is given by gy y P ρ = ) ( (eq. 1) The entire face A is at a depth y = 2d and hence (a) N m s m m kg gd d gd A d P F A 6 3 2 3 3 3 2 10 45 . 2 ) 5 )( / 8 . 9 )( / 10 ( 2 2 ) 2 ( ) 2 ( × = = = = = ρ ρ The height of face B varies from y = 2d to y = 3d and hence we must integrate as follows (b) ( 29 N m s m m kg gd d d gd gyddy dA y P dF F d d B 6 3 2 3 3 2 5 3 2 5 2 2 2 1 3 2 10 0625 . 3 ) 5 )( / 8 . 9 )( / 10 ( ) 2 ( ) 3 ( ) ( × = = + = - = = = = ρ ρ ρ Problem 14-40**: We see that y B Ma F Mg = - and hence - = - = - = M V g M Vg g M F g a liq liq B y ρ ρ 1 where M and V are the mass and volume of the ball, respectively. If the ball starts from rest then its velocity after it travels a distance y = +d ( i.e.
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