A light spring of constant k = 163 N/m rests vertically on the bottom of a large

Question

A light spring of constant k = 163 N/m rests vertically on the bottom of a large beaker of water. A 5.29-kg block of wood (density=[03] kg/m3 ) is connected to the spring and the mass-spring system is allowed to come to static equilibrium. What is the elongation L of the spring? The answer is between .17-.32 m.

A light spring of constant k = 163 N/m rests vertically on the bottom of a large beaker of water. A 5.29-kg block of wood (density=[03] kg/m3 ) is connected to the spring and the mass-spring system is allowed to come to static equilibrium. What is the elongation L of the spring? The answer is between .17-.32 m.

Explanation / Answer

Bouyancy force is mg*(1-pH2O/pwood) 5.29*9.81*(1-1000/03)=-17246.4 kx=F x=31.4/163=105.806 m

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