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Salt water has a density of 1.183 g/mL. A ball has a density of 0.0134 g/mL. Will the ball float or sink? Explain your answer.

A) Float; the ball's density is higher than saltwater's density.
B) Float; the ball's density is lower than saltwater's density.
C) Sink; the ball's density is higher than saltwater's density.
D) Sink; the ball's density is lower than saltwater's density.

1 Answer

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Final answer:

The ball with a density of 0.0134 g/mL will float in salt water because its density is lower than the salt water's density of 1.183 g/mL. This is an application of the buoyancy principle.

Step-by-step explanation:

The answer to whether the ball will float or sink in salt water depends on its density relative to the density of the salt water. Given the density of salt water is 1.183 g/mL and the density of the ball is 0.0134 g/mL, we can determine the outcome. Since the ball's density is much lower than that of the salt water (which has a density greater than 1), the ball will float. The correct answer is B) Float; the ball's density is lower than saltwater's density.

The principle of buoyancy dictates that if an object's average density is less than that of the surrounding fluid, it will experience a greater buoyant force than its own weight and therefore it will float. This is similar to the way oil, having a lower density than water, floats on top of water. In contrast, objects with a density greater than that of the surrounding fluid will sink, much like metals that are denser than water.

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