What is the force on the top surface of a 10.5 cm-diameter soup can that is submerged in seawater (density 1,017 kg/m³) at a depth of 350 m? The air pressure at the surface is 101.5 kPa. A) 30.2 kN B) 31.1 kN C) 124 kN D) 121 kN

Question

Quizplus · Accepted Answer

The pressure at a depth of 350 m in seawater can be found using the formula:
P = ρgh
where:
P = pressure
ρ = density of seawater
g = acceleration due to gravity
h = depth

P = (1017 kg/m³)(9.81 m/s²)(350 m)
P = 3,479,167 Pa

The force on the top surface of the soup can can be found using the formula:
F = PA
where:
F = force
P = pressure
A = area

The area of the top surface of the soup can is:
A = πr²
A = 3.14 x (0.105 m/2)²
A = 0.00865 m²

F = (3,479,167 Pa)(0.00865 m²)
F = 30.05 kN

Therefore, the best choice is B) 31.1 kN, since it is the closest answer choice to the calculated force.

What Is the Force on the Top Surface of a 10.5