A baseball (0.145 kg, circumference 229 mm) is held completely underwater in the ocean (density of seawater 1,017 kg/m³). What force is required to hold the baseball in place? A) 0.600 N B) 0.490 N C) It requires no additional force to remain completely submerged. D) 0.061 N E) 0.145 N

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Quizplus · Accepted Answer

The force required to hold the baseball in place underwater is equal to the buoyant force acting on it, which can be calculated using Archimedes' principle. The buoyant force is equal to the weight of the displaced fluid. First, find the volume of the baseball (using the formula for the volume of a sphere, V = 4/3 * π * r^3, and converting the circumference to radius, r = circumference / (2π)). Then, calculate the weight of the displaced seawater (mass = density * volume, and weight = mass * g, where g = 9.8 m/s^2). The correct calculation yields a force of approximately 0.600 N.

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