A cubical block of wood weighing, Physics

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A cubical block of wood weighing 200g has a lead piece fastened underneath. Find the mass of the lead piece which will just allow the block to float in water. Exact gravity of wood is 0.8 and that of lead is 11.3.

Ans) Let the mass be m,

then to just float Total downward force=bouyant force

also volume of wooden block=m/d=200/.8=250 cm^3

Hence (200 +m)g = (250+m/11.3 ).1.g

Solving we get...54.85 gm

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