A barge with vertical sides is 10 m wide and 60 m long and is floating in fresh water of density 1000 kg/m³. How much deeper into the water does the barge sink when 3.0 x 10⁵ kg of coal are loaded on the barge? A) 25 cm B) 50 cm C) 75 cm D) 1.0 m E) 1.5 m

Question

Quizplus · Accepted Answer

The volume of water displaced equals the weight of the coal divided by the density of water. The volume is then divided by the area of the barge to find the depth. Calculation: (3.0 x 10^5 kg) / (1000 kg/m^3) = 300 m^3. The area of the barge is 10 m x 60 m = 600 m^2. Depth = 300 m^3 / 600 m^2 = 0.5 m or 50 cm.

A Barge with Vertical Sides Is 10 M Wide and 60