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Zorluk: OrtaProperties of Matter

An aerospace technician measures a solid titanium equipment casing on Earth and records its mass as 18 kg18\text{ kg}. If this casing is transported to the surface of the Moon, where gravitational acceleration is roughly one-sixth of Earth's gravity, which statement accurately describes the mass and weight of the casing on the Moon?

  1. A
    Both the mass and the weight decrease to one-sixth of their original values on Earth.
  2. B
    The weight remains constant, while the mass decreases to one-sixth of its original value on Earth.
  3. The mass remains 18 kg18\text{ kg}, while the weight decreases to one-sixth of its value on Earth.Cevap
  4. D
    The mass increases due to the lunar vacuum, while the weight decreases to zero.

Cevap

The mass remains 18 kg18\text{ kg}, while the weight decreases to one-sixth of its value on Earth.
Mass is an intrinsic property of matter that quantifies the amount of substance in an object, meaning it remains constant regardless of location or environment. In contrast, weight is the gravitational force acting on that mass (W=mgW = mg). Because the Moon's gravitational acceleration is one-sixth that of Earth, the casing's weight decreases to one-sixth of its Earth value while its mass remains unchanged at 18 kg18\text{ kg}.

Adım Adım Çözüm

1
Define mass and determine its value on the Moon.
The mass remains exactly 18 kg18\text{ kg}.
Mass is an intrinsic property of matter representing the total amount of material in an object, which does not depend on gravitational pull.
2
Define weight and calculate its change under lunar gravity.
The weight decreases to one-sixth of its Earth measurement.
Weight is the force exerted on an object's mass by gravity (W=mgW = mg). Because lunar gravity is one-sixth of Earth's gravity, the downward gravitational force is reduced by a factor of six.
3
Synthesize the properties to identify the correct physical outcome.
Mass is invariant (18 kg18\text{ kg}), whereas weight is proportionally reduced by the weaker gravitational field.
Comparing the unchanging scalar property of mass with the field-dependent force of weight resolves the scenario.

Anahtar Kavram

Distinction between mass (intrinsic amount of matter) and weight (gravitational force on mass)
Tahmini Süre:45s
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