With how much force must you push down on a solid ball of aluminum of radius 9 cm in order for it to be halfway submerged in mercury? (The densities of aluminum and mercury are 2700 kg/m3 and 13,690 kg/m3 respectively.)

Explanation:

According to the Archimedes Principle, the buoyancy force exerted on a body is equal to the displaced weight of fluid, an external force is needed to guarantee the equilibrium of the solid ball, since denstity of aluminium is lower than denstity of mercury. The equation of equilibrium is:

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asthenosphere and convection