BRAINLIEST TO FIRST CORRECT ANSWER ASAP.

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. When the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. When the tanks are completely fill of air, the submarine reduces its overall mass and floats to the surface. Depending on the density if the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. The volume of the submarine never changes. When the tanks are completely full of water, a submarine with a volume of 7.8 x 10^3 m^3 has a total mass of 8 x 10^6 kg. The density of the seawater is 10^3 kg/m^3. To make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?

A. 8 x 10^6 m^3
B. 2 x 10^2 m^3
C. 8 x 10^3 m^3
D. 2 x 10^5 m^3

Respuesta :

Answer:

The volume of the water subtracted from the tanks is 2 × 10² m³ to

make the submarine float nor sink in the ocean ⇒ answer B

Step-by-step explanation:

* Lets talk about the relation between the mass , the volume

 and the density

- Mass = Volume × Density

- The unit of the mass is kilogram

- The unit of the volume is cubic meter

- The unit of the density is Kilogram per cubic meter

* Lets find the volume to make the submarine float neutrally

∵ Mass = volume × density

∴ Volume = Mass ÷ density

∵ The mass = 8 × 10^6 kg

∵ The density of the seawater = 10³ kg/m³

∴ The volume = 8 × 10^6 ÷ 10³ = 8 × 10^(6 - 3) ⇒ (to divide numbers

   with exponents and have same base, subtract the powers)

∴ The volume = 8 × 10³ m³

- The volume of the submarine never changes

∴ The submarine need to subtract:

  8 × 10³ - 7.8 × 10³ = 10³ (8 - 7.8) = 0.2 × 10³ = 2 × 10² m³ from its tanks

* The volume of the water subtracted from the tanks is 2 × 10² m³ to

   make the submarine float nor sink in the ocean