Question

Two spheres of the same radius, but of different masses, are both fully submerged in water. The lighter sphere is held below the water line by a rope anchored to the bottom of the container. The heavier sphere is suspended from a rope. Which one experiences the larger buoyancy force magnitude?

Answer 1

The heavier sphere experiences a larger buoyancy force because it displaces a greater weight of water compared to the lighter sphere.

Step-by-step explanation:

In this scenario, the heavier sphere experiences a larger buoyancy force magnitude. The buoyant force is the upward force exerted on an object submerged in a fluid. It is equal to the weight of the fluid displaced by the object.

Since both spheres are fully submerged, they displace the same volume of water. The buoyant force on each sphere is determined by the weight of this volume of water. The weight of the water displaced by the heavier sphere is greater than the weight of the water displaced by the lighter sphere, resulting in a larger buoyant force for the heavier sphere.

To summarize, the heavier sphere experiences a larger buoyancy force magnitude because it displaces a greater weight of water compared to the lighter sphere.

Answer 2

The lighter sphere held below the water line by a rope anchored to the bottom of the container

Step-by-step explanation:

Buoyancy is the upward force exerted on an object when it is immersed, partially or fully, in a fluid - and strictly where the fluid is subjected to a gravitational force but is not in free fall - and its value is equal to.

The force of buoyancy will be greater because tension force acting upwards assist the buoyancy force to move it upwards.