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 3.5 m³ in a fluid of density 1.5 g/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.
Similar Questions
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?
A body of 500 cm3 is completely immersed in water. Find the buoyant force acting on the body? (g = 10m /s2)
5 litre of a liquid weighs 5 kgf. The density of theliquid is ________.(a) 1 kg m–3 (b) 1 g cm–3(c) 100 kg m –3 (d) 100 g m–3
Equal mass of three liquids are kept in three identical cylindrical vessel A, B and C . The densities are ρA < ρB < ρc . The force on the base will be
A solid cube with a side length of 4 cm and density of 2 g/cm³ is submerged in a liquid. What is the buoyant force acting on the cube?2 marks32 N64 N16N8N
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.