Question

A 5.8-in.-diameter solid steel sphere is lowered into the ocean to a point where the pressure is 7.1 ksi (about 3 miles below the surface). Take E=29×10⁻³.

Answer 1

To calculate the change in volume of the solid steel sphere at a certain depth in the ocean, use the concept of pressure and the bulk modulus of the material.

Step-by-step explanation:

To calculate the change in volume of the solid steel sphere at a certain depth in the ocean, we can use the concept of pressure and the bulk modulus of the material.

The formula for calculating the fractional decrease in volume is given by:

-ε = P / (E * σg)

where:

• -ε is the fractional decrease in volume
• P is the pressure
• E is the bulk modulus of the material (given as 29 x 10^3 in this case)
• σ is the density of the material (given as the density of seawater)
• g is the acceleration due to gravity

We can substitute the given values into the formula and calculate the result.

Using the result, we can determine the percent decrease in volume and the percent increase in density if needed.