# Physics

posted by .

A cargo barge is loaded in a saltwater harbor for a trip up a freshwater river.If the rectangular barge is 3.00m by 20.0m and sits 0.900m deep in the harbor, how deep will it sit in the river?

• Physics -

weight of freshwater displaced=LW*depth*densityfreshwater*g
weight of saltwater displaced=LW*.9*denstiy salt water*g

but the barge is afloat, so its weight is equal to the water displaced, so
the freshwater and saltwater displaced weights are equal.

LW*depth*densityfresh*g=LW*.9m*density salt*g

depth=.9 densitysalt/densityfreshwater

• Physics -

I did .9(1030/1000) and i got .927...is this correct? i think it is

• Physics -

depends on if you believe 1030kg/m^3 is the density of surface sea water. It varies in my experience from 1020 to 1030.
If you are near a river outlet, it is on the low side.

• Physics -

this piece of info was given by the prof.

## Similar Questions

1. ### physics

A barge with mass 1.0×105 kg is proceeding down river at 5.8 m/s in heavy fog when it collides broadside with a barge heading directly across the river (see the figure). The second barge has mass 2.58×105 kg and was moving at 4.2 …
2. ### Physics

A cargo barge is loaded in a saltwater harbor for a trip up a freshwater river.If the rectangular barge is 3.00m by 20.0m and sits 0.900m deep in the harbor, how deep will it sit in the river?
3. ### physics

a rectangular barge with a flat bottom, has an area at the bottom of 4m squared. the weight of the barge plus its cargo is 5,000 newtons. what is the mass of the barge + cargo in kilograms?
4. ### Fluid Mechanics Physics

A flat-bottom river barge is 30.0 ft wide, 85.0 ft long, and 15.0 ft deep. (a) How many ft3 of water will it displace while the top stays 3.00 ft above the water?
5. ### Fluid Mechanics

A flat-bottom river barge is 30.0 ft wide, 85.0 ft long, and 15.0 ft deep. (a) How many ft3 of water will it displace while the top stays 3.00 ft above the water?
6. ### Physics Math

A flat-bottom river barge is 30.0 ft wide, 85.0 ft long, and 15.0 ft deep. (a) How many ft3 of water will it displace while the top stays 3.00 ft above the water?
7. ### Science Physics

A flat-bottom river barge is 30.0 ft wide, 85.0 ft long, and 15.0 ft deep. (a) How many ft3 of water will it displace while the top stays 3.00 ft above the water?
8. ### physics

A rectangular barge floats in freshwater. When a 400 kg block is loaded on the 5 m long by 2 m wide barge, the barge sinks a few centimeters deeper. How much deeper does the barge lower?
9. ### science

A rectangular barge floats in freshwater. When a 400 kg block is loaded on the 5 m long by 2 m wide barge, the barge sinks a few centimeters deeper. How much deeper does the barge lower?
10. ### physics

A cargo barge is loaded in a saltwater harbor for a trip up a freshwater river. If the rectangular barge is 3 m by 20 m and sits 0.8 m deep in the harbor, how deep will it sit in the river?

More Similar Questions