A solid sphere in an equilibrium in water in such a way that it’s ¾ of the volume is inside the water. Calculate the density of the sphere.
Answers
Answer:
sorry dont know
Explanation:
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Explanation:
The density of the sphere is 750kg/m^3
-The given problem can be analysed using condition of static equilibrium ( A body is said to be in static equilibrium if the net force and torque acting on the body is zero)
-Here we don't have any Torque as the body is not rotating.
-The two forces we have are the weight of the body and buoyant force which are acting opposite to each other.
Let density of sphere is D
density of water d=1000 Kg/m^3
volume of sphere is V
acceleration due to gravity is g
mass of the sphere is M
-Weight of the body = M.g
=D.V.g
-buoyant force = d.V(inside water).g
we have V(inside water)=0.75V (given)
-equating the forces, we have
D.V.g = d.V(inside water).g
D.V.g = d.(0.75V).g
D = 0.75d
D=0.75*1000=750 Kg/m^3