A body of 500 cm3 is completely immersed in water. Find the buoyant force acting on the body? (g = 10m /s2)

The buoyant force can be calculated using Archimedes' principle, which states that the buoyant force on an object is equal to the weight of the fluid displaced by the object.

Step 1: Identify the volume of the object. In this case, the volume of the body is given as 500 cm^3.

Step 2: Convert the volume to m^3 because the standard unit of volume in the International System of Units (SI) is cubic meter (m^3). 1 cm^3 is equal to 1e-6 m^3. So, 500 cm^3 = 500 * 1e-6 m^3 = 0.0005 m^3.

Step 3: Identify the density of the fluid. The density of water is typically 1000 kg/m^3.

Step 4: Identify the acceleration due to gravity. In this case, it is given as 10 m/s^2.

Step 5: Calculate the weight of the fluid displaced using the formula: weight = volume * density * gravity.

So, the buoyant force = 0.0005 m^3 * 1000 kg/m^3 * 10 m/s^2 = 5 N.

Therefore, the buoyant force acting on the body is 5 Newtons.