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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.
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.
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.
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.
Describe the relationship between mass and weight, including the formula that links them. Include the units of measurement for each component.
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 $g \approx 1.6 m/s^2$).
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 $g \approx 1.6 m/s^2$).
Explain why an object's weight changes when it is moved from Earth to Jupiter, even though its mass remains the same.
Explain why an object's weight changes when it is moved from Earth to Jupiter, even though its mass remains the same.
Define gravitational field strength, providing an example of its units of measurement and explaining its physical significance.
Define gravitational field strength, providing an example of its units of measurement and explaining its physical significance.
Describe how a traditional weighing scale measures 'weight' and explain why it is technically measuring force rather than mass.
Describe how a traditional weighing scale measures 'weight' and explain why it is technically measuring force rather than mass.
Explain why the readings on a spring balance would differ for the same object when used on Earth versus on Mars.
Explain why the readings on a spring balance would differ for the same object when used on Earth versus on Mars.
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.
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.
Flashcards
What is mass?
What is mass?
The amount of 'stuff' in an object, measured in grams or kilograms.
What is weight?
What is weight?
The force of gravity acting on an object's mass, measured in Newtons.
What is the equation linking mass and weight?
What is the equation linking mass and weight?
W = mg
What is 'g' on Earth?
What is 'g' on Earth?
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Does mass change with location?
Does mass change with location?
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Does weight change with location?
Does weight change with location?
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How is gravitational acceleration measured?
How is gravitational acceleration measured?
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What do scales measure?
What do scales measure?
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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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