Final answer:
The question is conflating friction on a surface with Bernoulli's equation from fluid dynamics. While Bernoulli's equation deals with the conservation of mechanical energy in a fluid, the concept of drag force, which is proportional to velocity for particles moving slowly in a fluid, is likely what the question refers to based on the description given.
Step-by-step explanation:
The student is asking about a situation where the force of friction on a surface is proportional to the speed of the block. This question seems to be mixed up with the concept of Bernoulli's equation, which actually relates to fluid dynamics, not friction between solid surfaces. Bernoulli's equation states that in a steady flow, the sum of all forms of mechanical energy in a fluid along a streamline (the potential energy per unit volume, the kinetic energy per unit volume, and the flow work per unit volume) remains constant. More specifically, it means that increases in speed (kinetic energy) in a fluid are always accompanied by a decrease in pressure or potential energy.
However, what seems to be more relevant to the question is the concept of drag force, sometimes referred to in fluids when an object moves through a fluid. In this context, for small particles moving at low speeds, the drag force is indeed proportional to velocity, which can be described as FD = bv, where FD is the drag force, v is the velocity and b is a constant that depends on the properties of the fluid and the object.