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

Question

Lea Cunningham

Physics

10 July, 21:02

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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Answers (1)

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Gael Schultz · Answer 1

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.