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# Working with the force of buoyncy

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A copper piece of mass 10g is suspended by a vertical spring. The spring elongates 1cm over its natural length to keep the piece in equilibrium. A beaker containing water is now placed below the piece so as to immerse it completely in water. Find the elongation of the string.

Density of copper is 9000 kg/m^3
g = 10 m/s^2

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The problem is solved giving all necessary mathematical steps. It will enable you to do similar problems yourself.

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Let the spring constant be k. When the piece is hanging in air, the equilibrium condition gives (from kx = mg)

k x 1cm = 0.01 kg x 10 m/s^2
= 0.1 N

The volume of the ...

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