The velocity of a small ball of mass and density , when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is , then the viscous force acting on the ball will be:
When the ball's velocity becomes constant, it has reached its terminal velocity, a state where the net force acting on the object is zero , . In this equilibrium state, the downward force of gravity (weight, ) is perfectly balanced by the sum of the upward forces: the buoyant force () and the viscous force () .
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