- Mass of container filled with mercury, \(m = 13.6 \text{ kg}\)

- Weight of container filled with mercury when submerged in water, \(W_{sub} = 133 \text{ N}\)

- Density of water, \(\rho_{water} = 1000 \text{ kg/m}^3\)

To find:

- Buoyant force acting on the container, \(B\)

The buoyant force is equal to the weight of the water displaced by the submerged object. We can calculate the volume of the water displaced using the mass of the container and the density of water:

$$V_{displaced} = \frac{m}{\rho_{water}}$$

$$V_{displaced} = \frac{13.6 \text{ kg}}{1000 \text{ kg/m}^3} = 0.0136 \text{ m}^3$$

Now, we can calculate the buoyant force using the formula:

$$B = \rho_{water}Vg$$

$$B = (1000 \text{ kg/m}^3)(0.0136 \text{ m}^3)(9.81 \text{ m/s}^2)$$

$$B = 133.66 \text{ N}$$

Therefore, the buoyant force acting on the container is 133.66 N.