b.Determine the mass of the barge in kg. c. Find the mass of the coal in terms o
ID: 1517928 • Letter: B
Question
b.Determine the mass of the barge in kg.
c. Find the mass of the coal in terms of the given data
d. Find the mass of the coal in kg.
e. How far would the barge be submerged (in meters) if mc,2= 250,000 kg of coal had been placed in the empty barge?
(7%) Problem 6: A barge floating in fresh water (e = 1000 kg/m 3) is shaped like a hollow rectangular prism with base area A = 550 m2 and height 2.0 m. When empty the bottom of the barge is located Ho = 0.45 m below the surface of the water. When fully loaded with coal the bottom of the barge is located H-1.15 m below the surface Randomized Variables A = 550 m2 Ho=0.45 m HI-1.15 m Ho ©theexpertta.comExplanation / Answer
Weight of the empty barge,
Wb = weight of water dispalce,
= rhow*A*H0 .... (a)
=1000*550*0.45
=247,500 Kg ....(b)
Mass of the coal
= water dispalced - weight of the barge
= rhow*A*H1- rhow*A*H0 ....(c)
=1000*550*1.15 -247500
=384950 Kg ....(d)
Depth of submerrging, would be
d =(247500+250000)/rhow*A
=247500+250000)/1000(550)
=0.9045 m ....(e)
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