Final answer:
The force of the liquid on the bottom of the aquarium can be found using the equation F = p * A, where p is the pressure and A is the area. The force of the liquid on the front window of the aquarium can also be calculated using the same equation. The forces for a specific aquarium can be determined by substituting the values into the equations.
Step-by-step explanation:
In order to find the force of the liquid on the bottom of the aquarium, we can use the concept of pressure. The pressure exerted by a fluid at a certain depth is given by the equation p = rho * g * h, where p is the pressure, rho is the density of the liquid, g is the acceleration due to gravity, and h is the depth of the fluid.
The force exerted on an area A by a pressure p is given by the equation F = p * A. Since the area of the bottom of the aquarium is equal to its length multiplied by its width (A = l * w), the force of the liquid on the bottom of the aquarium is given by the equation F_bottom = p * A = (rho * g * d) * (l * w).
The force of the liquid on the front window of the aquarium can be calculated using a similar approach. The pressure exerted on the front window is equal to the pressure at the bottom of the aquarium, since the depth is the same. Therefore, the force of the liquid on the front window is given by the equation F_front = p * A = (rho * g * d) * (l * d).
For a 100-cm-long, 35-cm-wide, 40-cm-deep aquarium filled with water, we can substitute the values into the equations:
F_bottom = (1000 kg/m³ * 9.8 m/s² * 0.4 m) * (1 m * 0.35 m) = 13720 N
F_front = (1000 kg/m³ * 9.8 m/s² * 0.4 m) * (1 m * 0.4 m) = 15680 N