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Question 364 of 949

Which of the following quantities is a vector?

  • Temperature
  • Distance
  • Force
  • Mass

Correct Answer: C

Explanation
The correct option is **C. Force**. ### Detailed Explanation 1. **Understanding Scalars and Vectors**: - In physics, quantities are classified into two categories: **scalars** and **vectors**. - **Scalars** are quantities that have only magnitude (size) and no direction. Examples include temperature, distance, and mass. - **Vectors**, on the other hand, have both magnitude and direction. This means that a vector not only tells you how much of something there is but also in which direction it acts. 2. **Analyzing Each Option**: - **A. Temperature**: - Temperature is a scalar quantity. It tells you how hot or cold something is, but it does not have a direction. For example, saying the temperature is 25 degrees Celsius does not imply any direction. - **B. Distance**: - Distance is also a scalar quantity. It measures how far an object has traveled, but it does not indicate the direction of travel. For instance, if you say an object is 10 meters away, it does not specify whether it is to the north, south, east, or west. - **C. Force**: - Force is a vector quantity. It has both magnitude and direction. For example, if you push an object with a force of 10 Newtons to the right, you are specifying both how strong the push is (10 Newtons) and the direction (to the right). This is crucial in physics because the effect of a force can change depending on its direction. - **D. Mass**: - Mass is a scalar quantity. It measures the amount of matter in an object and does not have a direction. For example, saying an object has a mass of 5 kilograms tells you how much matter is present but does not indicate any direction. 3. **Why Other Options Are Incorrect**: - **Temperature (A)**, **Distance (B)**, and **Mass (D)** are all scalar quantities. They lack the directional component that is essential for a quantity to be classified as a vector. This is why they cannot be considered vectors like force can. ### Common Pitfalls - Students often confuse scalar and vector quantities, especially when they are used in everyday language. For example, people might say "the temperature is rising," which implies a change but does not indicate direction, reinforcing the idea that temperature is a scalar. - Another common mistake is to think that any quantity that can be measured is a vector. Remember, the key distinction is whether or not the quantity has a direction associated with it. ### Summary - **Force is a vector** because it has both magnitude and direction. - **Temperature, distance, and mass are scalars**; they only have magnitude and no direction. - Understanding the difference between scalars and vectors is crucial in physics, as it affects how we analyze and solve problems involving these quantities.
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