Question

More force is required to pull the plug in a full bathtub than when it is empty. Does this contradict Archimedes’ principle? Explain your answer.

Short answer

The weight of the water above the plug, pulling the plug with a full tub needs extra force.

Step-by-step solution

Conceptual Introduction

Fluid statics, often known as hydrostatics, is a branch of fluid mechanics that investigates the state of balance of a floating and submerged body, as well as the pressure in a fluid, or imposed by a fluid, on an immersed body.

Define the buoyant force and Archimedes' principle

The total uplifting forceon any item in any fluid is known as buoyant force. The item will come to the top and floatif the buoyant force is higher than its weight. The object will sink if the buoyant force is less than its weight. The object can remain hung at its current depth if the buoyant force equals the object's weight.

The buoyant force is constantly presentand acts on any item immersed in a fluid, whether partially or completely.

The buoyant force on an item matches the weight of the fluid it displaces, according to Archimedes' principle.

More force is required to pull the plug

More force is required to pull the plug in a full bathtub than when it is empty. Do not contradict Archimedes’ principle.

According to Pascal's principle, the fluid exerts the change in pressure.

Pascal's principle also known as Pascal's law asserts that when a change in pressure is imparted to an enclosed fluid, it is communicated unchanged to all parts of the fluid as well as the container's walls.

Due to the fluid's atoms are allowed to move about in an immersed object, they transfer pressure to all sections of the fluid as well as the container's walls.

Any change in pressure is unaffectedly conveyed.

Therefore, the weight of the water above the plug, pulling the plug with a full tub needs extra force.