In air an object weighs 15N, when immersed completely in water the same object weighs 12N. When immersed in another liquid completely, it weighs 13N. Find: (a) the specific gravity of the object and (b) the specific gravity of the other liquid.
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Question

In air an object weighs 15N, when immersed completely in water the same object weighs 12N. When immersed in another liquid completely, it weighs 13N. Find: (a) the specific gravity of the object and (b) the specific gravity of the other liquid.

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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 A: (a) 5, (b) 2/3. Final answer: A.