Mass, Weight, and Volume

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Questions and Answers

Explain how the mass of an object differs from its weight.

Mass is the amount of matter in an object and remains constant, while weight is the force of gravity acting on that mass and can change depending on the gravitational force.

A rock has a mass of 600g and occupies a volume of 200 cm³. Calculate its density, showing your work.

Density = Mass / Volume = 600g / 200 cm³ = 3 g/cm³

Describe the displacement method for determining the volume of an irregularly shaped object.

Submerge the object in a container of water, measuring the water level before and after. The difference in water level corresponds to the volume of the object.

A rectangular block of wood has dimensions 10 cm x 5 cm x 2 cm and a mass of 100g. What is its density?

Volume = 10 cm * 5 cm * 2 cm = 100 cm³. Density = Mass / Volume = 100g / 100 cm³ = 1 g/cm³ Signup and view all the answers

If an object has a volume of 50 cm³ and a density of 2 g/cm³, what is its mass?

Mass = Density * Volume = 2 g/cm³ * 50 cm³ = 100 g Signup and view all the answers

Explain why ice floats on water, referencing the concept of density.

Ice is less dense than liquid water. Therefore, it floats because it is lighter than the equivalent volume of water. Signup and view all the answers

A metal cube has sides of 3 cm and a mass of 81 grams. Calculate the density of the metal. Show your work.

Volume = 3 cm * 3 cm * 3 cm = 27 cm³. Density = Mass / Volume = 81g / 27 cm³ = 3 g/cm³ Signup and view all the answers

How does increasing the mass of an object affect its density, assuming the volume remains constant?

Increasing the mass will increase the density, as density is directly proportional to mass (Density = Mass / Volume). Signup and view all the answers

How does increasing the volume of an object affect its density, assuming the mass remains constant?

Increasing the volume will decrease the density, as density is inversely proportional to volume (Density = Mass / Volume). Signup and view all the answers

You have a lead brick with a volume of 1000 $cm^3$. The density of lead is 11.34 $g/cm^3$. What is the mass of the lead brick?

$Mass = Density*Volume = (11.34 g/cm^3) * (1000 cm^3) = 11340 g$ Signup and view all the answers

Explain why knowing an object's density can be useful in identifying the material it is made from.

Density is a characteristic property of a substance; each substance has a unique density. By comparing an object's density to known densities, the material can be identified. Signup and view all the answers

A cylindrical container has a radius of 5 cm and a height of 10 cm. If it is filled with a liquid that has a density of 0.8 g/cm³, what is the mass of the liquid?

Volume = π * (5 cm)² * 10 cm ≈ 785.4 cm³. Mass = 0.8 g/cm³ * 785.4 cm³ ≈ 628.3 g Signup and view all the answers

What is the weight of an object on Earth that has a mass of 10 kg? Show your work.

Weight = Mass * Gravity = 10 kg * 9.8 m/s² = 98 N Signup and view all the answers

If you compress a gas into a smaller volume, what happens to its density?

Density increases because the same mass is now contained in a smaller volume, making it more compact. Signup and view all the answers

How would you determine the volume of a small, oddly shaped stone using a graduated cylinder and water?

Partially fill the cylinder with water and record the initial volume. Gently submerge the stone and record the new volume. The difference between the two volumes is the volume of the stone. Signup and view all the answers

A block of aluminum has a density of 2.7 g/cm³ and a volume of 50 cm³. What is its mass?

Mass = Density * Volume = 2.7 g/cm³ * 50 cm³ = 135 g Signup and view all the answers

Explain why a large ship made of steel can float, even though steel is much denser than water.

A ship floats because of its shape. It displaces a volume of water that weighs more than the ship itself. The overall density is reduced due to the air inside the ship. Signup and view all the answers

Describe how you could determine the density of an unknown liquid using a graduated cylinder and a balance.

Measure the mass of the empty cylinder. Fill the cylinder with a known volume of the liquid and measure the new mass. Subtract the mass of the empty cylinder to find the liquid's mass. Density = Mass/Volume. Signup and view all the answers

Two objects have the same mass but different volumes. Which one has a higher density?

The object with the smaller volume has a higher density, because density is inversely proportional to volume when mass is constant. Signup and view all the answers

A perfectly spherical ball has a diameter of 6 cm and a mass of 904.78 grams. What is the density of the ball?

Radius = Diameter/2 = 3 cm. Volume of Sphere = $(4/3) * π * r^3 = (4/3) * π * (3 cm)^3 \approx 113.1 cm^3$. Density = Mass/Volume = $904.78 g / 113.1 cm^3 = 8 g/cm^3$ Signup and view all the answers

Flashcards

Mass

The amount of matter in an object, measured in kilograms (kg) or grams (g). It remains constant regardless of location.

Mass Formula

Mass = Density × Volume