A solid sphere of radius R is floating in a liquid of density ρ. If the sphere is displaced slightly from its equilibrium position, it will experience a restoring force due to the buoyant force. U\sing Hooke's Law, derive an expression for the spring cons ant k in terms of R and ρ.

Question

A solid sphere of radius R is floating in a liquid of density ρ. If the sphere is displaced slightly from its equilibrium position, it will experience a restoring force due to the buoyant force. U\sing Hooke's Law, derive an expression for the spring cons	ant k in terms of R and ρ.

Accepted Answer

$ k = \frac{2}{3} \pi R^3 \rho g $

Post Utme Bowen University 2017 Physics Question 31

A solid sphere of radius R is floating in a liquid of density ρ. If the sphere is displaced slightly from its equilibrium position, it will experience a restoring force due to the buoyant force. U\sing Hooke's Law, derive an expression for the spring cons\tant k in terms of R and ρ.

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