Mass vs. Weight: Understanding the Difference

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Questions and Answers

Explain why an object thrown upwards eventually falls back down to Earth, referencing the concept of gravitational field strength.

When an object is thrown upwards, it experiences a downward force due to Earth's gravitational field, causing it to decelerate until it stops rising and falls back down.

Differentiate between mass and weight, and explain which property remains constant regardless of location.

Mass is the amount of matter in an object, while weight is the force of gravity acting on that mass. Mass remains constant regardless of location, whereas weight varies with changes in gravitational field strength.

A bag of potatoes is labeled as '5 kg'. Explain what this label actually represents and what instrument accurately measures this quantity.

The label '5 kg' represents the mass of the potatoes, indicating the amount of matter they contain. A balance is used to accurately measure mass.

Describe the relationship between mass and weight, including the formula that links them. Include the units of measurement for each component.

<p>Weight is the force of gravity on an object's mass. The formula is $W = mg$, where <em>W</em> is weight in Newtons, <em>m</em> is mass in kilograms, and <em>g</em> is the acceleration due to gravity in m/s².</p> Signup and view all the answers

An astronaut has a mass of 70 kg. Calculate their approximate weight on Earth (where $g \approx 9.8 m/s^2$) and on the Moon (where $g \approx 1.6 m/s^2$).

<p>On Earth, the astronaut's weight is approximately $70 kg * 9.8 m/s^2 = 686 N$. On the Moon, their weight is approximately $70 kg * 1.6 m/s^2 = 112 N$.</p> Signup and view all the answers

Explain why an object's weight changes when it is moved from Earth to Jupiter, even though its mass remains the same.

<p>An object's weight changes because weight is dependent on the gravitational field strength. Jupiter has a higher gravitational field strength than Earth, so the object experiences a greater gravitational force, resulting in a higher weight, even though its mass remains constant.</p> Signup and view all the answers

Define gravitational field strength, providing an example of its units of measurement and explaining its physical significance.

<p>Gravitational field strength is the force of gravity per unit mass at a particular location. It can be measured in units of N/kg or m/s². It signifies the acceleration an object would experience due to gravity at that location.</p> Signup and view all the answers

Describe how a traditional weighing scale measures 'weight' and explain why it is technically measuring force rather than mass.

<p>A weighing scale measures 'weight' by measuring the force exerted on it by an object due to gravity. Since the scale relies on this gravitational force to provide a reading, it is technically measuring weight in Newtons, not mass in kilograms.</p> Signup and view all the answers

Explain why the readings on a spring balance would differ for the same object when used on Earth versus on Mars.

<p>The spring balance measures the force of gravity acting on the object, which is its weight. Since Mars has a different gravitational field strength than Earth, the same object will experience a different gravitational force, resulting in different readings on the spring balance.</p> Signup and view all the answers

A physics student says, 'My weight is 60 kg.' Correct this statement, explaining the proper units for measuring weight and restating the value correctly assuming they are on Earth.

<p>The correct unit for weight is Newtons (N), not kilograms (kg). Kilograms measure mass. Assuming the student is on Earth where <em>g</em> is approximately $9.8 m/s^2$, their weight is approximately $60 kg * 9.8 m/s^2 = 588 N$.</p> Signup and view all the answers

Flashcards

What is mass?

The amount of 'stuff' in an object, measured in grams or kilograms.

What is weight?

The force of gravity acting on an object's mass, measured in Newtons.

What is the equation linking mass and weight?

W = mg

What is 'g' on Earth?

Acceleration due to Earth's gravity, approximately 9.8 m/s².

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Does mass change with location?

The constant amount of matter in an object, regardless of location.

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Does weight change with location?

Varies depending on the gravitational field strength of the celestial body.

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How is gravitational acceleration measured?

Measured in meters per second squared (m/s²) or Newtons per kilogram (N/kg).

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What do scales measure?

Scales measure the force of gravity on mass.

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Study Notes

  • Kilograms measure mass, not weight, despite common usage.
  • Scales measure the force of gravity on mass, thus measuring weight in Newtons.

Mass vs. Weight

  • Mass is the amount of "stuff" in an object, measured in grams or kilograms.
  • Weight is the force of gravity on mass, measured in Newtons.
  • A 1 kg bag of sugar has twice as much "stuff" as a 0.5 kg bag.
  • Weight is measured using a spring balance or force meter (Newton meter).

Equation Linking Mass and Weight

  • The equation linking mass and weight is W = mg.
  • W represents weight in Newtons.
  • m represents mass in kilograms.
  • g represents acceleration due to gravity (m/s²).
  • On Earth, g ≈ 9.8 m/s².
  • A 1 kg bag of sugar weighs approximately 9.8 N on Earth.
  • Everyday usage often uses "weight" when referring to mass.

Weight on Different Celestial Bodies

  • On the Moon, g ≈ 1.6 m/s², so the 1 kg sugar bag weighs less than on Earth.
  • On Jupiter, g ≈ 25 m/s², so the 1 kg sugar bag weighs more than on Earth.
  • The mass of the sugar remains 1 kg regardless of location.

Gravity and Gravitational Field Strength

  • An object thrown upwards experiences a downward force (gravity), causing deceleration.
  • This acceleration is due to Earth's gravitational force, denoted as 'g'.
  • 'g' is also known as gravitational field strength.
  • An equal force is required to prevent an object from falling due to gravity.

Mass and Weight: Further Explanation

  • Mass measures the amount of "stuff" and its resistance to changes in motion.
  • Mass remains constant regardless of location (e.g., 56 kg on Earth and Moon).
  • Gravitational acceleration can be measured in m/s² or N/kg.

Calculating Weight

  • Weight is calculated as mass times gravity (W = mg).
  • On Earth, a person with a mass of 56 kg weighs approximately 560 N.
  • On the Moon, the same person weighs approximately 89.6 N.
  • Different planets have different gravitational field strengths due to varying sizes and masses.

Example: Apple and Gravity

  • An apple with a mass of 100 grams (0.1 kg) experiences a gravitational force of about 1 N on Earth.
  • Isaac Newton's observation of a falling apple inspired his theory of gravity.

Conclusion

  • Mass stays constant, while weight varies depending on gravitational field strength.

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