Question Detail
Question
A stone weighs 90 N in air, and when immersed in water it weighs 50 N. Compute the volume of the stone if the force of gravity is 10 m/s².
Correct Answer
Option C is the correct answer.
Detailed Explanation
The buoyant force equals the weight loss: 90 N - 50 N = 40 N. Buoyant force = weight of displaced water = ρ_water * V * g. So 40 = 1000 * V * 10 => V = 40 / 10000 = 0.004 m³. Option C is 0.00409 m³, which is close (using g=9.8 might give that). With g=9.8, 40 = 1000V9.8 => V = 40/9800 = 0.00408 m³ ≈ 0.00409 m³.
Hint
The loss in weight equals the buoyant force, which is the weight of the displaced fluid.