Buoyant Force and Archimedes' Principle

The video tutorial explains Archimedes' principle, which states that the buoyant force on an object is equal to the weight of the fluid it displaces. It covers scenarios involving floating and submerged objects, highlighting how buoyant force affects their apparent weight. The tutorial also discusses helium balloons in air, illustrating how buoyant force applies to gases. Force diagrams are used to demonstrate equilibrium conditions and the relationship between buoyant force, weight, and tension.

What does Archimedes' Principle state about buoyant force?

• It is equal to the weight of the object.

• It is equal to the volume of the object.

• It is equal to the weight of the displaced fluid.

• It is equal to the density of the fluid.

When an object is floating, what can be said about the forces acting on it?

• There are no forces acting on it.

• The upward force equals the downward force.

• The downward force is greater than the upward force.

• The upward force is greater than the downward force.

In the case of a completely submerged object, what does the apparent weight represent?

• The weight of the object minus the buoyant force.

• The weight of the object plus the buoyant force.

• The actual weight of the object.

• The weight of the displaced fluid.

How does the buoyant force affect the apparent weight of a submerged object?

• It makes the object appear heavier.

• It doubles the apparent weight.

• It has no effect on the apparent weight.

• It makes the object appear lighter.

If a block has a real weight of 5 kg and an apparent mass of 3 kg when submerged, what is the mass of the displaced fluid?

• 3 kg

• 5 kg

• 2 kg

• 1 kg

What is the relationship between the buoyant force and the weight of the displaced fluid?

• Buoyant force is half the weight of the displaced fluid.

• Buoyant force is twice the weight of the displaced fluid.

• Buoyant force equals the weight of the displaced fluid.

• Buoyant force is unrelated to the weight of the displaced fluid.

In the context of a helium balloon in air, what does the buoyant force equal?

• The volume of the balloon.

• The tension in the string.

• The weight of the displaced air.

• The weight of the helium balloon.

What must be true for a helium balloon to remain at rest in the air?

• The buoyant force must equal the weight of the balloon plus the tension in the string.

• The buoyant force must be less than the weight of the balloon.

• The buoyant force must equal the tension in the string.

• The buoyant force must be greater than the weight of the balloon.

How is the volume of displaced air related to the helium balloon?

• It is twice the volume of the balloon.

• It is unrelated to the volume of the balloon.

• It is equal to the volume of the balloon.

• It is half the volume of the balloon.

What is the formula for calculating the weight of the displaced air?

• Mass of the balloon times gravity.

• Volume of the balloon times gravity.

• Density of air times the volume of the balloon.

• Density of air times the mass of the balloon.