The force of Archimedes is directly proportional to the density of the fluid and the volume of the object submerged in it. In this case, the density of steel is 7800 kg/m³, while the density of water is 1000 kg/m³. This means that the steel object will experience a buoyant force of 15.24 N when submerged in water. This force is known as the force of Archimedes.

In order to find the weight of the object in the water, we need to consider the weight of the object in the air first. The weight of the steel object in the air is given to be 15.6 N. However, when submerged in water, the weight of the object will decrease due to the buoyant force acting upon it.

We can calculate the weight of the object in water by subtracting the force of Archimedes from the weight of the object in air. Therefore, the weight of the steel object in water will be 15.6 N - 15.24 N = 0.36 N.