Final answer:
To determine the force required to submerge the ball, calculate the ball's volume, find the mass of water displaced using the water's density, and then multiply by the acceleration due to gravity.
Step-by-step explanation:
The student is asking about the force required to hold a ball completely submerged under water, taking into account its density and diameter. To find the necessary force, we need to calculate the weight of the water displaced by the ball when it is submerged, which is equal to the buoyant force according to Archimedes' principle. The weight of this displaced water will tell us the force required to keep the ball submerged.
The volume of the ball can be calculated using the formula for the volume of a sphere V = 4/3 * pi * r^3, where 'r' is the radius of the ball. Since the diameter of the ball is given, we divide it by two to find the radius. With the volume known, we can then calculate the mass of the water displaced by using the density of water (1 g/cm³). Finally, since force is mass multiplied by acceleration due to gravity (g = 9.8 m/s²), we multiply the mass of the water displaced by 9.8 to find the force in newtons.