Calculating Buoyant Force on a Submerged Sphere

A steel sphere with a density of 7,750 kg/m³ is completely submerged in water, which has a density of 1.00 x 10³ kg/m³. Based on these densities, what can be concluded about the sphere's behavior if it were released?

• The sphere would float because its density is less than water.

• The sphere would sink because its density is greater than water.

• The sphere would remain suspended at the depth it was released.

• The buoyant force would be greater than the sphere's weight.

A steel sphere has a diameter of 50.7 mm and a density of 7,750 kg/m³. What buoyant force acts on the steel sphere when it is completely submerged in water? The density of water is 1.00 x 10³ kg/m³. (Use g = 9.81 m/s²).

• 0.669 N

• 5.15 N

• 7.75 N

• 0.086 N

A steel sphere is suspended by a string and then slowly lowered into a beaker of water until it is fully submerged but not touching the bottom. How does the tension in the string change compared to when the sphere was in the air?

• The tension increases by the magnitude of the buoyant force.

• The tension decreases by the magnitude of the buoyant force.

• The tension remains the same.

• The tension becomes zero.

When a steel sphere is fully submerged in a beaker of water, how does the force measured by a sensor supporting the beaker change compared to when only the water is in the beaker?

• It decreases by the magnitude of the buoyant force.

• It increases by the magnitude of the buoyant force.

• It remains unchanged.

• It increases by the weight of the steel sphere.

When a steel sphere is submerged in water, the buoyant force acts on the sphere. What is the corresponding reaction force according to Newton's Third Law?

• The gravitational force acting on the sphere.

• The upward force exerted by the string on the sphere.

• The downward force exerted by the sphere on the water.

• The upward force exerted by the water on the beaker.

A steel sphere is fully submerged in water. If the buoyant force acting on the sphere is 0.68 N, what is the weight of the water displaced by the sphere?

• 0 N

• 0.34 N

• 0.68 N

• 1.36 N

Which of the following factors primarily determines the magnitude of the buoyant force acting on a fully submerged object?

• The density of the object and its volume.

• The density of the fluid and the object's volume.

• The gravitational field strength and the object's mass.

• The surface area of the object and the depth of submersion.