Mass

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Mass
Mass example | Image: Pixabay

Mass quantifies the amount of matter an object possesses. It is an intrinsic characteristic of an object and remains constant regardless of its location. The kilogram (kg) serves as the standard unit of mass, commonly used to express the mass of different objects. For example, the mass of a textbook might be measured as 1.5 kilograms, while the mass of a car could be several thousand kilograms.

Examples

Everyday objects

Masses of everyday objects
Book~300–600 g
Coffee cup~250–400 g
Mobile phone~150–250 g
Tennis ball55–60 g
Flower petal~0.01–0.05 g
Pencil~5–10 g
Laptop~1,000–2,500 g
Golf ball~45–50 g
Cricket ball155 g
Spoon~25–35 g
Soccer ball400–450 g
DSLR camera~1,200–1,800 g
Wristwatch~30–60 g
Volleyball260–280 g
TV remote~70–140 g

Note: The mass values provided above for everyday objects are approximate and intended to offer a general idea. Actual mass may vary depending on factors such as size, material composition, and product variations. For precise measurements, refer to product specifications or use appropriate measuring instruments.

Celestial objects

Masses of celestial bodies in the Solar System
Sun1.989 × 1030 kg
Mercury3.285 × 1023 kg
Venus4.867 × 1024 kg
Earth5.972 × 1024 kg
Moon7.342 × 1022 kg
Mars6.39 × 1023 kg
Deimos
(moon of Mars)
1.4762 × 1015 kg
Phobos
(moon of Mars)
~1.0659 × 1016 kg
Jupiter1.898 × 1027 kg
Ganymede
(moon of Jupiter)
1.4819 × 1023 kg
Io
(moon of Jupiter)
8.94 × 1022 kg
Europa
(moon of Jupiter)
4.80 × 1022 kg
Callisto
(moon of Jupiter)
1.076 × 1023 kg
Saturn5.683 × 1026 kg
Titan
(moon of Saturn)
1.345 × 1023 kg
Rhea
(moon of Saturn)
2.306 × 1021 kg
Iapetus
(moon of Saturn)
1.806 × 1021 kg
Dione
(moon of Saturn)
1.095 × 1021 kg
Tethys
(moon of Saturn)
6.174 × 1020 kg
Uranus8.681 × 1025 kg
Oberon
(moon of Uranus)
3.076 × 1021 kg
Titania
(moon of Uranus)
3.52 × 1021 kg
Umbriel
(moon of Uranus)
1.275 × 1021 kg
Ariel
(moon of Uranus)
1.27 × 1021 kg
Miranda
(moon of Uranus)
6.4 × 1019 kg
Puck
(moon of Uranus)
2.9 × 1018 kg
Neptune1.024 × 1026 kg
Triton
(moon of Neptune)
2.139 × 1022 kg
Proteus
(moon of Neptune)
4.4 × 1019 kg
Nereid
(moon of Neptune)
3.1 × 1019 kg
Larissa
(moon of Neptune)
4.2 × 1018 kg
Galatea
(moon of Neptune)
2.12 × 1018 kg
Despina
(moon of Neptune)
2.2 × 1018 kg
Pluto
(dwarf planet)
1.309 × 1022 kg

Note: The mass values listed above for celestial bodies are based on current astronomical data and scientific estimates. While generally accurate, they may be rounded or subject to revision as new measurements become available.

Formula

Mass formula
Mass formula | Image: Learnool

The mass formula states that mass (m) is calculated as the product of an object’s density (ρ) and its volume (v). Mathematically, the formula for mass is expressed as m = ρ × v. This formula enables the calculation of the mass of an object based on its density and volume.

Practice problems

Problem #1

Calculate the mass of a steel object if the density of steel is 8050 kg/m3 and the volume of the object is 0.012 m3.

Solution

Given data:

  • Mass of the object, m = ?
  • Density of steel, ρ = 8050 kg/m3
  • Volume of the object, v = 0.012 m3

Applying the formula:

  • m = ρ × v
  • m = 8050 × 0.012
  • m = 96.6 kg

Therefore, the mass of a steel object is 96.6 kg.

Problem #2

If the density of a diamond is 3510 kg/m3 and the volume of the diamond is 0.005 m3, then calculate the mass of the diamond.

Solution

Given data:

  • Density of a diamond, ρ = 3510 kg/m3
  • Volume of a diamond, v = 0.005 m3
  • Mass of a diamond, m = ?

Applying the formula:

  • m = ρ × v
  • m = 3510 × 0.005
  • m = 17.55 kg

Therefore, the mass of a diamond is 17.55 kg.

Problem #3

The density of silver is 10497 kg/m3 and the volume of the silver object is 0.008 m3. Calculate the mass of the silver object.

Solution

Given data:

  • Density of silver, ρ = 10497 kg/m3
  • Volume of the object, v = 0.008 m3
  • Mass of the object, m = ?

Applying the formula:

  • m = ρ × v
  • m = 10497 × 0.008
  • m = 83.97 kg

Therefore, the mass of a silver is 83.97 kg.

Problem #4

Find the mass of a block of ice with a density of 917 kg/m3 and a volume of 0.007 m3.

Solution

Given data:

  • Mass of ice block, m = ?
  • Density of block, ρ = 917 kg/m3
  • Volume of block, v = 0.007 m3

Applying the formula:

  • m = ρ × v
  • m = 917 × 0.007
  • m = 6.41 kg

Therefore, the mass of an ice block is 6.41 kg.

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External links

Deep

Learnool.com was founded by Deep Rana, who is a mechanical engineer by profession and a blogger by passion. He has a good conceptual knowledge on different educational topics and he provides the same on this website. He loves to learn something new everyday and believes that the best utilization of free time is developing a new skill.

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