Final answer:
To determine the x-component of force of flow in a pipe, Poiseuille's Law is the relevant principle as it specifically describes laminar flow through a tube, unlike the other laws mentioned.
Step-by-step explanation:
To determine the x-component of force of flow in a pipe, neither Bernoulli's Equation nor Hooke's Law is applicable, as they are related to different phenomena. Bernoulli's Equation deals with the conservation of energy in a fluid flow and indicates how pressure, velocity, and height relate in an incompressible, frictionless fluid. Hooke's Law, on the other hand, is about the force exerted by a spring when it is stretched or compressed.
Stokes' Law applies to the drag on a sphere moving through a fluid, which is not directly relevant here. Therefore, the correct option in this context is Poiseuille's Law, which describes laminar flow through a tube. Poiseuille's law for resistance was formulated by J.L. Poiseuille and can offer insights into flow rates and pressures required for flow in a pipe, which are more directly correlated to the force components of flow.