A 2 kg object is completely submerged in a fluid. If the object experiences an upward buoyant force of 20 N, what is the density of the fluid?

Sure, here are the steps to solve this problem:

1. First, we need to understand the principle of buoyancy. According to Archimedes' principle, the buoyant force on an object is equal to the weight of the fluid displaced by the object. In this case, the buoyant force is given as 20 N.

2. The weight of the fluid displaced by the object can be calculated using the formula: Weight = mass x gravity. In this case, the weight of the fluid is equal to the buoyant force, which is 20 N.

3. We know that the acceleration due to gravity is approximately 9.8 m/s^2. So, we can find the mass of the fluid displaced by rearranging the formula to: Mass = Weight / gravity = 20 N / 9.8 m/s^2 = 2.04 kg.

4. The volume of the fluid displaced is equal to the volume of the object submerged. We can find this by using the formula: Volume = mass / density. We know the mass of the object is 2 kg, but we don't know the density of the object. However, we know that the volume of the object is equal to the volume of the fluid displaced. So, we can say that the volume is 2.04 kg / density of fluid.

5. Finally, we can find the density of the fluid by rearranging the formula to: Density = mass / volume = 2.04 kg / (2 kg / density of fluid). Solving this equation will give us the density of the fluid.