Answered: A barge is 15.0 m wide and 75.0 m long…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter11: Fluid Statics

Section: Chapter Questions

Problem 37PE: Logs sometimes float vertically in a lake because one end has become water-logged and denser than...

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A barge is 15.0 m wide and 75.0 m long and has vertical sides. The bottom of the hull is 1.20 m below the water surface. What is the weight of the barge and its cargo, if it is floating in fresh water?

Expert Solution

Step 1

Given data

The width of the barge $W = 15.0 m$

The width of the length $L = 75.0 m$

The depth of the barge $D = 1.20 m$

The mass of the barge and its cargo is,

$\begin{array}{rcl} m & = & (W L D) ρ \\ = & (15.0 m) (75.0 m) (1.20 m) (1000 kg / m^{3}) \\ = & 1350000 kg \end{array}$

here $ρ$ is the density of fresh water.

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