Question

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?

Answer 1

Explanation:

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

            P = $\rho gh$

where,    P = pressure

     $\rho$ = density

            g = acceleration due to gravity

            h = height

Putting the given values into the above formula as follows.

              P = $\rho gh$

                 = $1025 \times 9.8 \times 11000$

                 = 110495000 Pa

Now, relation between pressure and force is as follows.

                P = $\frac{F}{A}$

or,            F = PA

                F = $110495000 \times \pi \times (0.1)^{2}$

                   = $3.47 \times 10^{6} N$

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