A barge is 10.0 m wide and 60.0 m long and has vertical sides. It is floating in fresh water. A load of 6.00 MN is placed on the barge. How much does its hull sink into the water?
A)5.00 m
B)7.21 m
C)10.2 cm
D)10.0 m
E)1.02 m

Question

Quizplus · Accepted Answer

The volume of water displaced equals the weight of the load divided by the density of water and gravity. The area of the barge is 10 m * 60 m = 600 m². The volume displaced is 6 MN / (1000 kg/m³ * 9.81 m/s²) = 611.52 m³. The depth the barge sinks is 611.52 m³ / 600 m² = 1.02 m.

A Barge Is 10