QuestionFebruary 1, 2026

An object experiences a buoyant force of 15.9 N when immersed in a fluid of density 917kg/m^3 What is the volume of the object? [?]m^3

An object experiences a buoyant force of 15.9 N when immersed in a fluid of density 917kg/m^3 What is the volume of the object? [?]m^3
An object experiences a buoyant force
of 15.9 N when immersed in a fluid of
density 917kg/m^3
What is the volume of the object?
[?]m^3

Solution
4.6(298 votes)

Answer

0.00177\ \text{m}^3 Explanation 1. Use Archimedes' Principle Buoyant force formula: **F_b = \rho \, V \, g** 2. Solve for Volume V = \frac{F_b}{\rho \, g} = \frac{15.9}{917 \times 9.8} V = \frac{15.9}{8986.6} \approx 0.00177\ \text{m}^3

Explanation

1. Use Archimedes' Principle<br /> Buoyant force formula: **$F_b = \rho \, V \, g$**<br />2. Solve for Volume<br /> $V = \frac{F_b}{\rho \, g} = \frac{15.9}{917 \times 9.8}$ <br /> $V = \frac{15.9}{8986.6} \approx 0.00177\ \text{m}^3$
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