**Correct Option: A. Mass is a measure of the amount of matter in an object, while weight is the force exerted by gravity on that mass.** ### Detailed Explanation: 1. **Understanding Mass:** - Mass is a fundamental property of matter. It quantifies the amount of matter in an object and is measured in kilograms (kg) or grams (g). - Mass is an intrinsic property, meaning it does not change regardless of the object's location in the universe. For example, a 10 kg object on Earth has the same mass as a 10 kg object on the Moon or in space. 2. **Understanding Weight:** - Weight, on the other hand, is the force exerted on an object due to gravity. It is calculated using the formula: \[ W = m \cdot g \] where \( W \) is weight, \( m \) is mass, and \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on Earth). - Weight is a vector quantity, meaning it has both magnitude and direction (toward the center of the gravitational body). 3. **Relationship Between Mass and Weight:** - The relationship between mass and weight is direct: the greater the mass of an object, the greater its weight, provided the gravitational field strength remains constant. - For example, if you have a mass of 5 kg, its weight on Earth would be: \[ W = 5 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 = 49.05 \, \text{N} \] - If the same object were on the Moon, where \( g \) is approximately \( 1.62 \, \text{m/s}^2 \), its weight would be: \[ W = 5 \, \text{kg} \cdot 1.62 \, \text{m/s}^2 = 8.1 \, \text{N} \] - This shows that while the mass remains 5 kg, the weight changes depending on the gravitational field strength. ### Why Other Options Are Incorrect: - **Option B: Mass and weight are interchangeable terms that can be used to describe the same physical quantity.** - This statement is incorrect because mass and weight are fundamentally different concepts. Mass is a measure of matter, while weight is a force resulting from gravity acting on that mass. They cannot be used interchangeably. - **Option C: Weight is constant regardless of location, while mass varies with gravitational force.** - This statement is false. Mass does not vary with location; it remains constant. Weight, however, does change depending on the gravitational force acting on the mass. For example, an object weighs less on the Moon than on Earth due to the lower gravitational acceleration. - **Option D: Mass is dependent on gravitational acceleration, while weight remains the same regardless of the object's mass.** - This statement is misleading. Mass is not dependent on gravitational acceleration; it is an inherent property of the object. Weight, however, is directly dependent on both mass and gravitational acceleration. As mass increases, weight increases proportionally, assuming gravitational acceleration remains constant. ### Summary: - Mass is the amount of matter in an object and does not change with location. - Weight is the force due to gravity acting on that mass and varies with the strength of the gravitational field. - The formula for weight is \( W = m \cdot g \), where \( g \) changes depending on where you are (e.g., Earth vs. Moon). - Mass and weight are distinct concepts and should not be confused with one another.