Which of the following statements is INCORRECT regarding mass and weight of a body?

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AAI Junior Assistant (Fire Service) Official Paper (Held On: 21 Apr, 2025 Shift 1)
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  1. The weight of a body remains the same on both the moon and earth.
  2. The unit of weight is the newton
  3. The unit of mass is the kilogram.
  4. The mass of a body remains the same on both the moon and earth.

Answer (Detailed Solution Below)

Option 1 : The weight of a body remains the same on both the moon and earth.
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The correct answer is The weight of a body remains the same on both the moon and earth.

Key Points

  • The mass of a body remains constant regardless of its location, whether on Earth, the Moon, or elsewhere.
  • Weight is the force exerted by gravity on a body and depends on the gravitational acceleration at the location.
  • The weight of a body on the Moon is approximately one-sixth its weight on Earth due to the Moon's weaker gravitational pull.
  • The unit of mass is the kilogram (kg), while the unit of weight is the newton (N).
  • The statement "The weight of a body remains the same on both the Moon and Earth" is incorrect as weight changes with the gravitational force.

Additional Information

  • Mass: Mass is a measure of the amount of matter in an object and is constant regardless of location. It is scalar and does not depend on gravity.
  • Weight: Weight is a vector quantity and is calculated using the formula Weight = Mass × Gravitational Acceleration. On Earth, the gravitational acceleration is approximately 9.8 m/s².
  • Gravitational Acceleration: The Moon's gravitational acceleration is about 1.63 m/s², which is much lower than Earth's, causing objects to weigh less on the Moon.
  • Units of Measurement: The SI unit of mass is the kilogram (kg), and the SI unit of weight (force) is the newton (N), where 1 N = 1 kg·m/s².
  • Practical Implications: Astronauts weigh less on the Moon, which affects their ability to move and carry objects. This difference is critical for space exploration and engineering designs.
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