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Which of the following statements is/are correct? Statements: I) The mass of an object is the same as its weight. II) The mass of an object is not the same as its weight. III) Mass is scalar quantity, whereas weight is vector quantity.
Statements I and III
Statement III
Statements I and II
Statements II and III
Statements II and III
Mass is an intrinsic property representing the amount of matter in an object, while weight is the gravitational force acting upon that mass. Therefore, they are physically distinct quantities with different units and properties.
Mass is an intrinsic property representing the amount of matter in an object, while weight is the gravitational force acting upon that mass. Therefore, they are physically distinct quantities with different units and properties.
Think of mass as the 'content' of your backpack (which stays the same) and weight as the 'downward pull' you feel, which feels heavier if you are in an elevator accelerating upward compared to being on the ground.
M-S-V (Mass is Scalar, Vector is Weight).
W=mтЛЕg тАФ Weight is the product of mass and gravitational acceleration.
FgтАЛ=GтЛЕr2MтЛЕmтАЛ тАФ Newton's Law of Universal Gravitation determining weight.
Mass (m) is a scalar quantity measured in kg, defined by inertia. Weight (W) is a vector quantity defined as the force exerted by gravity, calculated by W=m├Чg, where g is the acceleration due to gravity. Because g varies based on location (e.g., Earth vs. Moon), weight changes while mass remains constant.
Mass is constant everywhere in the universe.
Weight depends on the local gravitational field strength (g).
Mass is measured in kilograms (kg) (SI unit).
Weight is a force measured in Newtons (N).
Distinguishing mass and weight is crucial for aerospace engineering and satellite stability.
The colloquial use of 'weight' for 'mass' in daily life often leads to conceptual confusion.
Weight measurements in industrial manufacturing.
Calculations for orbital mechanics and space travel.
| Feature | Constant | Variable |
|---|---|---|
Property | Mass | Weight |
Earth's standard gravity gтЙИ9.8┬аm/s2.
Statement I is incorrect because mass and weight are physically different concepts.
Statement II is correct because mass relates to quantity of matter and weight to gravitational force.
Statement III is correct as mass has magnitude only (scalar), while weight has magnitude and direction towards the center of gravity (vector).
D is correct тАФ Mass is an invariant scalar quantity reflecting inertia, whereas weight is a force vector that varies with the gravitational field intensity.
Always remember: in physics, 'weight' is a force. If an object is in free-fall, its 'apparent weight' is zero, but its mass remains unchanged.
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