Final answer:
To find the volume of the metal object, subtract the weight of the object submerged in water from its weight in air. Then, use the buoyant force formula to calculate the volume. The density of the metal cannot be determined without knowing the mass of the object.
Step-by-step explanation:
In order to find the volume of the metal object, we need to first determine the buoyant force that acts on it when it is submerged in water. The difference between the scale readings in air and water represents the buoyant force exerted by the water on the object. The weight of the object in air is 943 N and in water, it is 799 N. The buoyant force is the difference between these two values, which is 143 N.
The buoyant force is equal to the weight of the water displaced by the object. Therefore, the volume of the object can be calculated using the buoyant force and the density of water. The density of water is approximately 1000 kg/m³. We can use the formula:
Volume = Buoyant Force / (Density of Water * Acceleration due to Gravity)
Substituting the given values, we have:
Volume = 143 N / (1000 kg/m³ * 9.8 m/s²)
Simplifying the equation, we find that the volume of the object is 0.0146 m³.
Now, to find the density of the metal, we can divide the mass of the object by its volume. Since the mass of the object is not given in the question, we cannot provide a specific answer to part (b) without this information.