Which statement describes Archimedes' principle and its significance for submerged bodies in fluids?

Which statement describes Archimedes' principle and its significance for submerged bodies in fluids?

• A. An object submerged in a fluid experiences an upward buoyant force equal to the weight of the displaced fluid.
• B. The continuity equation relates pressure to velocity.
• C. Buoyant force is always equal to the weight of the fluid.
• D. Hydrostatic pressure is constant with depth.

Answer: (A)

Archimedes' principle says that an object submerged in a fluid experiences a net upward buoyant force equal to the weight of the fluid it displaces. This happens because pressure in a fluid increases with depth, so the pressure on the bottom surface is greater than on the top, creating an upward push. The beauty of this principle is that the buoyant force depends only on the volume of fluid displaced (and the fluid’s density), not on the object's shape, size, or depth, and it equals the weight of that displaced fluid. This is why boats float and why objects sink or rise depending on how their weight compares to that buoyant force: if the object weighs more than the displaced fluid, it sinks; if it weighs less, it rises until it displaces enough fluid to balance the weight. Thus the statement captures the essence of buoyancy and its consequences for submerged bodies, whereas other statements mix in unrelated ideas or misstate what buoyant force corresponds to.

Archimedes' principle says that an object submerged in a fluid experiences a net upward buoyant force equal to the weight of the fluid it displaces. This happens because pressure in a fluid increases with depth, so the pressure on the bottom surface is greater than on the top, creating an upward push. The beauty of this principle is that the buoyant force depends only on the volume of fluid displaced (and the fluid’s density), not on the object's shape, size, or depth, and it equals the weight of that displaced fluid. This is why boats float and why objects sink or rise depending on how their weight compares to that buoyant force: if the object weighs more than the displaced fluid, it sinks; if it weighs less, it rises until it displaces enough fluid to balance the weight. Thus the statement captures the essence of buoyancy and its consequences for submerged bodies, whereas other statements mix in unrelated ideas or misstate what buoyant force corresponds to.