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Which of the following statements is true?
The weight of an object is the power with which it is attracted towards the earth.
The mass of an object is constant and does not change from place to place.
The weight is equal to the product of velocity and acceleration due to gravity.
The weight of an object is constant and does not change from place to place.
The mass of an object is constant and does not change from place to place.
Recall that mass is the intrinsic quantity of matter (scalar, constant) and weight is the gravitational force (vector, variable based on location).
Recall that mass is the intrinsic quantity of matter (scalar, constant) and weight is the gravitational force (vector, variable based on location).
Analyze the definition of Mass
Mass is defined as the amount of matter in an object. It is a fundamental property that remains constant regardless of the object's location in the universe, as it does not depend on gravitational pull.
Evaluate the given statements
Statement 1: Weight is force, not power (incorrect). Statement 2: Mass is constant regardless of location (correct). Statement 3: Weight is mass times gravity, not velocity times gravity (incorrect). Statement 4: Weight depends on local gravity, so it varies from place to place (incorrect).
A is incorrect because weight is measured in force units (Newtons), not power; C is incorrect because weight is m multiplied by acceleration due to gravity (g), not velocity; D is incorrect because weight changes with variations in local gravitational acceleration.
B is correct because mass is an inherent, invariant property of matter that remains the same regardless of changes in the gravitational environment or location.
Always distinguish between scalar properties (like mass) which are constant, and vector/force-based properties (like weight) which are dependent on external fields like gravity.
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