Question

9-9 A coal barge is floating in salt water. The water comes up to a place on the side of the barge called the water line. wood Given: The barge is rectangular, with a length of 10.0 m and width of 3.0 m. The density of salt water is 1.03 x 103 kg/m². The barge is loaded with coal and has a mass of 1.5x 104 kg. 1. 50 Find: (a) What is the buoyant force holding up the barge? (b) What is the volume of the water displaced?! (c) How far does the water come up on the edge of the barge?

Answer 1

solution: mass of coal M=1.50x104 kg Density of salt water p = 1.03 x103 kg/m3 Length of barge i=10.om. width of barge w = 3.om. (a) The barge is in equilibrium Net force on barge is zero. - Fg + Fn =0 Force of gravity on harge Fg = Mg (vertically downwards) Have fo = Mg vertically upwards Fb = (1.50x104) (9.81) = 147150 N (6) Fb = Vw eg a "we =M volume of water doplaced Vw = Mo - 1.50x104 103 x103 = 14.563 m3 (c) Uw = LWH H= L Height of water on edge = 0.485 m H= 0.485m.