A ball naturally floats with 35% of its volume above the surface of a pool filled with mercury (density 13600 kg/m³).If a force of 1200 N is required to force the ball completely under water,what is the radius of the ball? A) 5.7 cm B) 31.9 cm C) 14.9 cm D) 12.9 cm

Question

Quizplus · Accepted Answer

The buoyant force equals the weight of the displaced fluid. Since 35% of the ball is above the surface, 65% is submerged, meaning the buoyant force is 65% of the ball's weight. The additional force required to submerge the ball completely is 1200 N. Using the density of mercury and the volume of the sphere, we can solve for the radius.

A Ball Naturally Floats with 35% of Its Volume Above