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Some species of whales can dive to depths of 1 kilometer. What is the total pressure they experience at this depth? ( rho sea =1020 kg/m^ 3 and 10 ^ 5 * N / (m ^ 2) =1 ATM.)

User Rlivsey
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Final answer:

Species of whales dive to depths of 1 kilometer the total pressure experienced by whales diving to a depth of 1 kilometer is approximately 2.016 * 10^6 N/m^2.

Step-by-step explanation:

The pressure at a certain depth in a fluid is given by the equation:

P = P0 + ρgh

Where:

  • P is the total pressure
  • P0 is the atmospheric pressure
  • ρ is the density of the fluid
  • g is the acceleration due to gravity
  • h is the depth

In this case, we need to calculate the total pressure experienced by whales diving to a depth of 1 kilometer.

Given that ρsea = 1020 kg/m^3 and 1 atm = 10^5 N/(m^2), we can calculate as follows:

P = P0 + ρgh

Convert 1 kilometer to meters: 1 kilometer = 1000 meters

Substitute the given values:

P = (10^5 N/m^2) + (1020 kg/m^3) * (9.8 m/s^2) * (1000 m)

Simplify:

P = 2.016 * 10^6 N/m^2

Therefore, the total pressure experienced by whales at a depth of 1 kilometer is approximately 2.016 * 10^6 N/m^2.

User Izb
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