# Archimedes and Buoyancy (Grades 11-12)

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## Archimedes and Buoyancy

**Instructions:**
Read each question carefully. Choose the answer that best fits the question. Short answer response questions must be responded to in complete sentences. If the question involves calculations, you must show all your math work.

1.

Use the information and the following scenario to answer the next three questions.

Archimedes' formula, [math]F=V*g*(ρ_f - ρ_0)[/math], where:

[math]F=[/math]the buoyant force of the object, in Newtons

[math]V=[/math]the volume of the object, in [math]m^3[/math]

[math]g=9.80665m/(s^2)[/math]

[math]ρ_f=[/math]the density of the object

[math]ρ_0=[/math]the density of the fluid

A basketball floats in a bathtub of water. The ball has a mass of 0.5 kg and a diameter of 22 cm.

Archimedes' formula, [math]F=V*g*(ρ_f - ρ_0)[/math], where:

[math]F=[/math]the buoyant force of the object, in Newtons

[math]V=[/math]the volume of the object, in [math]m^3[/math]

[math]g=9.80665m/(s^2)[/math]

[math]ρ_f=[/math]the density of the object

[math]ρ_0=[/math]the density of the fluid

A basketball floats in a bathtub of water. The ball has a mass of 0.5 kg and a diameter of 22 cm.

A.

What is the buoyant force of the ball?

- 9.8 N
- -4.9 N
- 49 N
- 4.9 N

B.

What is the volume of water displaced by the ball?

- [math]0.5 m^3[/math]
- [math]0.0005 m^3[/math]
- [math]0.005m^3[/math]
- [math]5xx10^-3m^3[/math]

C.

What is the average density of the basketball?

- [math]0.0056(kg)/(m^3)[/math]
- [math]0.0112(kg)/(m^3)[/math]
- [math]89.6(kg)/(m^3)[/math]
- [math]98(kg)/(m^3)[/math]

2.

An object partially or wholly immersed in a fluid is buoyed up by a force equal to the of the fluid by the object.

3.

When the specific gravity of the object is less than that of the fluid, the object is in a state of .

- positive buoyancy
- negative buoyancy
- neutral buoyancy
- immersion

4.

When the specific gravity of the object is equal to that of the fluid, the object is in a state of .

- positive buoyancy
- negative buoyancy
- neutral buoyancy
- immersion

5.

When the specific gravity of the object is greater than that of the fluid, the object is in a state of .

- positive buoyancy
- negative buoyancy
- neutral buoyancy
- immersion

6.

The of an object is equal to the weight of the water displaced by the object subtracted by the weight of the object.

7.

What is the buoyancy of an anchor with a dry weight of 100 lb, and a volume of .22 cu. ft., when it is dropped in the ocean?

- 86 lb
- -94 lb
- -86 lb
- 98 lb

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