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The atmospheric pressure on mars is around 7 millibar, where the gravitational constant
is 3.7 m/s² instead of Earth's 9.8 m/s². What height of water column would be stable on
Mars? Assume a density of water of 1.0g/mL.

Sagot :

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The height of water column would be stable on Mars is 1.89 m

To answer the question, we need to know what the pressure on mars is

What is the pressure on mars?

The pressure on mars P = ρgh where

  • ρ = density of water = 1.0 g/mL = 1.0 × 10⁻³ kg/1 × 10⁻³ L = 1 kg/L = 1 kg/1 × 10⁻³ m³ = 1000 kg/m³,
  • g = acceleration due to gravity on mars = 3.7 m/s² and
  • h = height of water column.

Height of water column

Making h subject of the formula, we have

h = P/ρg

Since

  • P = 7 mbar = 7 × 10⁻³ bar = 7 × 10⁻³ × 10⁵ Pa = 700 Pa,
  • ρ = 1000 kg/m³ and
  • g = 3.7 m/s²

Substituting the values of the variables into the equation, we have

h = P/ρg

h = 700 Pa/(1000 kg/m³ × 3.7 m/s²)

h = 700 Pa/370 kg/m²s²

h = 1.89 m

So, the height of water column would be stable on Mars is 1.89 m

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