Pressure and Depth in Fluids

Professor Anderson discusses pressure with depth, focusing on the Mariana Trench, the deepest known ocean point. He explains how pressure increases with depth due to the weight of water above. The pressure at a given depth is calculated using the formula P = P₀ + ρgh, where ρ is water density, g is gravity, and h is depth. The pressure at the Mariana Trench is calculated to be 1.07 x 10^8 pascals, equivalent to about 1,000 atmospheres, highlighting the immense pressure at such depths.

What is the depth of the Marianas Trench in kilometers?

• 12.1 km

• 9.11 km

• 10.911 km

• 11.9 km

What happens to the pressure as you go deeper underwater?

• It fluctuates

• It increases

• It remains constant

• It decreases

Which of the following is the correct formula for pressure at a certain depth?

• P = ρgh

• P = P₀ + ρgh

• P = P₀ - ρgh

• P = P₀ / ρgh

What is the value of gravitational acceleration used in the pressure calculation?

• 10 m/s²

• 9.7 m/s²

• 9.8 m/s²

• 9.81 m/s²

What is the density of water used in the pressure calculation?

• 1100 kg/m³

• 900 kg/m³

• 1000 kg/m³

• 1200 kg/m³

What is the calculated pressure at the bottom of the Marianas Trench in pascals?

• 1.07 x 10¹⁰ Pa

• 1.07 x 10⁸ Pa

• 1.07 x 10⁷ Pa

• 1.07 x 10⁹ Pa

How do you convert pressure from pascals to atmospheres?

• Subtract 10⁵

• Multiply by 10⁵

• Add 10⁵

• Divide by 10⁵

What is the pressure at the bottom of the Marianas Trench in atmospheres?

• 1.07 x 10⁴ atm

• 1.07 x 10³ atm

• 1.07 x 10⁵ atm

• 1.07 x 10² atm

How many times greater is the pressure at the bottom of the Marianas Trench compared to the surface?

• 1500 times

• 1000 times

• 500 times

• 100 times

What is the atmospheric pressure at the surface in pascals?

• 1 x 10⁶ Pa

• 1 x 10⁵ Pa

• 1 x 10⁴ Pa

• 1 x 10⁷ Pa