A cylindrical wooden float whose base area is 4 m² and height 1 m drifts on the water surface in vertical position. Density of wood is 500 kg m⁻³ and that of water is 1000 kg m⁻³. What minimum work (in kJ) must be performed to take the float out of the water?
Physics · Fluid Mechanics
JEE Mains Advanced

Question

A cylindrical wooden float whose base area is 4 m² and height 1 m drifts on the water surface in vertical position. Density of wood is 500 kg m⁻³ and that of water is 1000 kg m⁻³. What minimum work (in kJ) must be performed to take the float out of the water?

Physics · Fluid Mechanics

G1 Physics · Accepted Answer

Step 1: Apply Archimedes' principle, Fᵦ = ρfluid g Vdisplaced, together with force/torque equilibrium. Step 2: Use the immersed volume from the given geometry and solve the balance condition. Applying these relations to the given data gives 5. Final answer: 5.