Question

a passenger on cruise between San Juan, Puerto Rico and Miami, Florida accidentally drops a souvenir metal cube over the side of the boat, into the water. Each side of the metal cube measures 1 meter. The cube promptly sinks to the deepest part of the Puero Rico Trench. Once at the bottom, what pressure does the cube experience? Neglect Atmospheric Pressure. Use wikipedia to see depth of Trench!

Answer 1

Answer:

P = 84.1 MPa

Explanation:

• The pressure at the bottom of column of of salt water of height h, is given by the following expression:

       $P = \rho * g * h (1)$

       where ρ = density of salt water (in Kg/m³),

       g = acceleration due to  gravity  (in m/s²)

       h = height of the column of water.

• Replacing by their values in (1):

      $P = \rho * g * h = 1023.6kg/m3*9.8m/s2*8380m = 84.1 MPa (2)$

• Neglecting the atmospheric pressure, the pressure on the cube at the bottom of Puerto Rico Trench is given by (2):
• P = 84.1 MPa.