A ball bearing that has a density of 5.16 g/cm³ is held at rest under the surface of a liquid that has a density of 2.50 g/cm³.The magnitude of the acceleration of the ball bearing just after it is released is A)5.0 m/s² B)14 m/s² C)10 m/s² D)6.5 m/s² E)1.6 m/s²

Question

Quizplus · Accepted Answer

The acceleration of the ball bearing just after it is released is determined by the net force acting on it, which is the difference between the gravitational force and the buoyant force, divided by its mass. Since the ball is denser than the liquid, it will experience a net downward force. However, without specific values for volume or mass, we cannot directly calculate the acceleration using the given densities. The correct answer must be inferred or is based on an understanding of the principles involved rather than a direct calculation. Given the options and the context, the choice provided as correct (5.0 m/s^2) seems to be a placeholder or an error in the question's setup, as the actual calculation cannot be directly derived from the information given. The correct approach involves applying Archimedes' principle and Newton's second law, but the question does not provide enough information for a precise calculation.

A Ball Bearing That Has a Density of 5