Final answer:
The buoyant force on the submerged ebony log can be calculated using Archimedes' principle, which states that the buoyant force is equal to the weight of the water displaced by the log. By multiplying the density of water by the volume of the log and the acceleration due to gravity, we can find the buoyant force to be approximately 3324.48 N.
Step-by-step explanation:
To find the buoyant force on the submerged ebony log, we can use Archimedes' principle.
According to this principle, the buoyant force is equal to the weight of the water displaced by the log.
The density of water is approximately 1000 kg/m³. Since the volume of the log is given as 12 f³, we need to convert it to cubic meters by multiplying by the conversion factor 0.0283 m³/f³.
So, the volume of the log is 12 f³ * 0.0283 m³/f³ = 0.3396 m³.
Therefore, the buoyant force on the log is equal to the weight of the water displaced, which can be calculated by multiplying the density of water by the volume of the log, and then multiplying by the acceleration due to gravity:
Buoyant force = density of water * volume of log * acceleration due to gravity
= 1000 kg/m³ * 0.3396 m³ * 9.8 m/s²
= 3324.48 N