Question

When a metal sphere is dropped in to a tall cylinder containing liquid its acceleration is g/2 (gravity over 2). Shaow that : density of metal =2density of liquid

Answer 1

Fm is the net force down on the metal in air

Fm / 2 is the net force down on the metal in liquid

Fl is the buoyant force on the metal due to liquid

Fm - Fl = Fm / 2 equating upward and downward forces

Fm / 2 = Fl

The specific gravity of the metal is twice that of the liquid

Note: F = M g = ρ V g since ρ = M / V