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10 October, 14:32

A sphere of mass 0.5kg is dropped into a column of oil. At the instant the sphere becomes completely submerged in the oil, the sphere is moving downward at 8m/s, the buoyancy force on the sphere is 4.0N, and the fluid frictional force is 4.0N. Which of the following describes the motion of the sphere at this instant

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  1. 10 October, 16:26
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    sphere moves with a constant terminal velocity.

    Explanation:

    mass of sphere, m = 0.5 kg

    velocity downward, v = 8 m/s

    buoyant force = 4 N

    fluid friction force = 4 N

    Weight of the sphere is acting downward.

    W = mg = 0.5 x 10 = 5 N

    When the object is immersed in a fluid and it moves in the fluid with constant velocity, it means the net force acting on the object is zero, and the object attains a terminal velocity.
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