The correct option is **C. Weight is dependent on the gravitational field strength, while mass remains constant regardless of location.** ### Detailed Explanation 1. **Understanding Mass and Weight**: - **Mass** is a measure of the amount of matter in an object. It is a scalar quantity and is usually measured in kilograms (kg). Mass does not change regardless of where the object is located 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. - **Weight**, on the other hand, is the force exerted on an object due to gravity. It is a vector quantity and 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). 2. **Why Option C is Correct**: - Option C states that "Weight is dependent on the gravitational field strength, while mass remains constant regardless of location." This is accurate because: - The weight of an object changes depending on the gravitational field strength. For example, on Earth, \( g \approx 9.81 \, \text{m/s}^2 \), while on the Moon, \( g \approx 1.62 \, \text{m/s}^2 \). Thus, an object will weigh less on the Moon than on Earth, even though its mass remains the same. - This distinction is crucial in physics, as it helps us understand how objects behave in different gravitational environments. 3. **Why the Other Options are Incorrect**: - **Option A**: "Weight is the amount of matter in an object, while mass is the force acting on an object due to gravity." - This is incorrect because it reverses the definitions of mass and weight. Mass is the amount of matter, while weight is the force due to gravity acting on that mass. - **Option B**: "Mass is the measure of the gravitational force acting on an object, while weight is the amount of matter in an object." - This is also incorrect. Mass is not a measure of gravitational force; it is the quantity of matter. Weight is the force that results from the gravitational pull on that mass. - **Option D**: "Mass and weight are interchangeable terms that both refer to the amount of substance in an object." - This is misleading. Mass and weight are not interchangeable; they refer to different concepts. Mass is a measure of matter, while weight is a force that depends on mass and the local gravitational field strength. ### Common Pitfalls - **Confusing Mass and Weight**: Many students confuse mass with weight. Remember that mass is constant and does not change with location, while weight can vary based on the gravitational field. - **Forgetting the Units**: Weight is measured in newtons (N) because it is a force, while mass is measured in kilograms (kg). Always pay attention to the units when solving problems involving mass and weight. ### Revision Summary - Mass is the amount of matter in an object and remains constant regardless of location. - Weight is the force acting on an object due to gravity and varies with the gravitational field strength. - The formula for weight is \( W = m \cdot g \), where \( g \) changes depending on the location. - Understanding the distinction between mass and weight is crucial for solving physics problems related to forces and motion.