Determine the buoyant force on an object of volume 3.5m3 in a fluid of density 1.5g/mL
Question
Determine the buoyant force on an object of volume 3.5m3 in a fluid of density 1.5g/mL
Solution
Sure, let's solve this step by step.
Step 1: Convert the density of the fluid to kg/m^3 from g/mL. We know that 1 g/cm^3 = 1000 kg/m^3. So, 1.5 g/mL = 1.5 g/cm^3 = 1500 kg/m^3.
Step 2: Use the formula for buoyant force, which is F = ρ * V * g, where ρ is the density of the fluid, V is the volume of the object, and g is the acceleration due to gravity.
Step 3: Substitute the given values into the formula. We know that the volume V = 3.5 m^3, the density ρ = 1500 kg/m^3, and the acceleration due to gravity g = 9.8 m/s^2.
So, F = 1500 kg/m^3 * 3.5 m^3 * 9.8 m/s^2 = 51450 N.
Therefore, the buoyant force on the object is 51450 N.
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