An ideal incompressible liquid flows through a pipe with a variable cross-section. At the cross section with the area A_(1)=8mm^2 the speed of the liquid equals v_(1)=24mm/s What is the area A_(2) of the second cross-section if the speed of liquid there is v_(2)=6mm/s Please select one answer option A_(2)=18mm^2 A_(2)=1152mm^2 A_(2)=32mm^2 A_(2)=2mm^2

To solve this problem, we can use the principle of conservation of mass, which states that the mass flow rate must be the same at both cross-sections.The mass flow rate can be calculated as the product of the cross-sectional area and the velocity of the liquid. Therefore, we can write: Substituting the given values, we have: Solving for , we get: Therefore, the correct answer is .