4. The Mariana trench is in the Pacific Ocean and has a depth of approximately 11,000 m. The density of seawater is approximately 1025 kg/m3. What force would someone experience at such depth?

Respuesta :

Explanation:

It is known that relation between pressure and density is as follows.

            P = [tex]\rho gh[/tex]

where,    P = pressure

     [tex]\rho[/tex] = density

            g = acceleration due to gravity

            h = height

Putting the given values into the above formula as follows.

              P = [tex]\rho gh[/tex]

                 = [tex]1025 \times 9.8 \times 11000[/tex]

                 = 110495000 Pa

Now, relation between pressure and force is as follows.

                P = [tex]\frac{F}{A}[/tex]

or,            F = PA

                F = [tex]110495000 \times \pi \times (0.1)^{2}[/tex]

                   = [tex]3.47 \times 10^{6} N[/tex]

Thus, we can conclude that a force of [tex]3.47 \times 10^{6} N[/tex] can be  experienced at such depth.