Physics

Problem

A cylindrical test tube of mass

50\,\text{g}

and cross-sectional area

2.5\,\text{cm}^{2}

floats vertically in water. It is pushed down slightly by

x = 2\,\text{cm}

and released. Calculate the restoring force acting on the tube immediately after release. (

g = 10\,\text{m/s}^{2}

\rho_{\text{water}} = 1000\,\text{kg/m}^{3}

)