REVIEWING: A container with equal sides of 0.010 m is filled with 0.5 kg of fluid. a. What is the force, in Newtons, on the bottom of the container?

To find the force exerted on the bottom of the container, we first need to determine the pressure exerted by the fluid. Pressure can be calculated using the formula: \[ P = \frac{F}{A} \] Where \( F \) is the force and \( A \) is the area. The force on the bottom of the container, which is due to the weight of the fluid, can be calculated as follows: 1. Calculate the weight of the fluid: \[ F = mg \] Here, \( m = 0.5 \) kg (mass of the fluid) and \( g = 9.81 \) m/s² (acceleration due to gravity). So, \[ F = 0.5 \, \text{kg} \times 9.81 \, \text{m/s}^2 = 4.905 \, \text{N} \] Now, the force on the bottom of the container is approximately 4.91 Newtons. The area \( A \) of the bottom can be calculated as: \[ A = \text{side}^2 = (0.010 \, \text{m})^2 = 0.0001 \, \text{m}^2 \] Thus, the pressure is: \[ P = \frac{F}{A} = \frac{4.905 \, \text{N}}{0.0001 \, \text{m}^2} = 49050 \, \text{Pa} \] So, the force on the bottom of the container is roughly **4.91 N**. For a fun fact, did you know that a fluid applies pressure in all directions? So if you’re diving deep into the ocean, you're feeling significant pressure on every inch of your body! And speaking of pressure, if you're ever at sea level and decide to take a dip in a pool, just remember that the deeper you go, the heavier the water above you feels! It's kind of like nature’s reminder that gravity means business!