Final Answer:
The fluid force F on a side of the plate submerged in a fluid with mass density ρ = 800 kg/m^3, and with a surface area of a = 5 m, can be calculated using the formula F = ρ * g * a, where g is the acceleration due to gravity.
Step-by-step explanation:
Fluid forces on submerged surfaces are influenced by the mass density of the fluid, the acceleration due to gravity, and the surface area of the object. In this scenario, the formula F = ρ * g * a is applied, where ρ represents the mass density of the fluid (given as 800 kg/m^3), g is the acceleration due to gravity, and a is the surface area of the plate.
The fluid force is directly proportional to the product of mass density, gravity, and surface area. This mathematical relationship is based on fundamental principles of fluid mechanics and buoyancy.
The mass density of the fluid determines how much mass is present in a given volume, while gravity influences the weight of this mass. Combining these factors with the surface area of the submerged plate allows for the calculation of the fluid force acting on it.
In summary, the fluid force F on the plate is determined by the formula F = ρ * g * a, where ρ is the mass density, g is the acceleration due to gravity, and a is the surface area of the submerged plate.