**Correct Option: B. Mass is constant regardless of location, while weight can change based on the gravitational field strength.** ### Detailed Explanation: 1. **Understanding Mass:** - Mass is a measure of the amount of matter in an object. It is a scalar quantity, which means it has magnitude but no direction. The standard unit of mass in the International System of Units (SI) is the kilogram (kg). - Importantly, mass does not change regardless of where the object is located. Whether you are on Earth, the Moon, or in space, the mass of an object remains the same. This is because mass is an intrinsic property of matter. 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 (which varies depending on where you are in the universe). - The standard unit of weight in the SI system is the newton (N), which is a derived unit of force. Since weight is a force, it is a vector quantity, meaning it has both magnitude and direction (the direction is towards the center of the gravitational body). 3. **Why Option B is Correct:** - Option B correctly states that mass remains constant regardless of location, while weight can change based on the strength of the gravitational field. For example, an object with a mass of 10 kg will weigh approximately 98 N on Earth (where \( g \approx 9.8 \, \text{m/s}^2 \)), but it will weigh only about 16.5 N on the Moon (where \( g \approx 1.625 \, \text{m/s}^2 \)). This illustrates how weight is dependent on the local gravitational field strength. ### Why the Other Options are Incorrect: - **Option A:** "Mass is the force of gravity acting on an object, while weight is a measure of the amount of matter in an object." - This statement is incorrect because it reverses the definitions of mass and weight. Mass is indeed a measure of the amount of matter, while weight is the force due to gravity acting on that mass. - **Option C:** "Mass is dependent on the volume of an object, while weight is independent of volume." - This option is misleading. Mass is not directly dependent on volume; rather, it is related to density (mass per unit volume). An object can have a large volume but low mass (like a balloon) or a small volume but high mass (like a metal ball). Weight is also not independent of volume; it depends on mass and the gravitational field strength. - **Option D:** "Mass is a vector quantity, while weight is a scalar quantity." - This statement is incorrect because mass is a scalar quantity, while weight is a vector quantity. Weight has direction (towards the center of the gravitational body), while mass does not. ### Summary of Key Points: - Mass is a measure of the amount of matter in an object and remains constant regardless of location. - Weight is the force due to gravity acting on an object and can change based on the gravitational field strength. - The formula for weight is \( W = m \cdot g \), where \( g \) varies depending on the location. - Mass is a scalar quantity, while weight is a vector quantity. This understanding is crucial for solving problems related to gravity, forces, and motion in physics.