Question

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 of density 1000 kg/m3

Answer 1

`1.32* 10^7N`

Step-by-step explanation:

According to Archimedes principle the weight = buoyancy force

We have given length = 75 m

Width = 15 m

Height =1.2 m

So volume =75×15×1.2=1350
`m^3`

Density
`d=1000kg/m^3`

We know that mass m = density ×volume
`=1000* 1350=1350000\ kg`

Weight
`w=mg=1350000* 9.8=1.32* 10^7N`