Spring Physics Exam 2 #'s 6-10

1. 9. Which of the figures is not drawn head-to-tail?

I

II

III

IV

Figure I is not drawn head-to-tail because the tail of the arrow does not connect to the head of the next arrow. The other figures (II, III, and IV) are all drawn head-to-tail, meaning that the tail of one arrow connects to the head of the next arrow in a continuous line.

Explanation

Figure I is not drawn head-to-tail because the tail of the arrow does not connect to the head of the next arrow. The other figures (II, III, and IV) are all drawn head-to-tail, meaning that the tail of one arrow connects to the head of the next arrow in a continuous line.

2. 10. In the figure above, which diagram represents the vector addition, C = - A - B?

II

III

IV

V

not-available-via-ai

Explanation

not-available-via-ai

3. 7. In the figure, which diagram represents the vector addition,C = - A + B?

I

II

III

IV

Diagram III represents the vector addition C = -A + B. In this diagram, vector A is shown in the opposite direction with a negative sign, and vector B is shown in the same direction. When we subtract vector A from vector B, we get vector C. Therefore, diagram III is the correct representation of the vector addition C = -A + B.

Explanation

Diagram III represents the vector addition C = -A + B. In this diagram, vector A is shown in the opposite direction with a negative sign, and vector B is shown in the same direction. When we subtract vector A from vector B, we get vector C. Therefore, diagram III is the correct representation of the vector addition C = -A + B.

4. 6. In the figure, which diagram represents the vector addition,C = A + B?

I

II

III

IV

Diagram II represents the vector addition C = A + B because it shows the two vectors A and B being added head-to-tail. The resulting vector C starts at the tail of A and ends at the head of B. This is the correct method of vector addition, where the magnitudes and directions of A and B are combined to determine the magnitude and direction of C.

Explanation

Diagram II represents the vector addition C = A + B because it shows the two vectors A and B being added head-to-tail. The resulting vector C starts at the tail of A and ends at the head of B. This is the correct method of vector addition, where the magnitudes and directions of A and B are combined to determine the magnitude and direction of C.

5. 8. In the figure above, which diagram represents the vector addition, C = A - B?

I

II

III

IV

Diagram IV represents the vector addition C = A - B. In this diagram, vector B is subtracted from vector A, resulting in vector C. The direction of vector C is determined by subtracting the direction of vector B from the direction of vector A. The magnitude of vector C is determined by subtracting the magnitude of vector B from the magnitude of vector A. Therefore, diagram IV correctly represents the vector addition C = A - B.

Explanation

Diagram IV represents the vector addition C = A - B. In this diagram, vector B is subtracted from vector A, resulting in vector C. The direction of vector C is determined by subtracting the direction of vector B from the direction of vector A. The magnitude of vector C is determined by subtracting the magnitude of vector B from the magnitude of vector A. Therefore, diagram IV correctly represents the vector addition C = A - B.

6. 8. In the figure, which diagram represents the vector addition, C = A - B?

I

II

III

IV

Diagram IV represents the vector addition C = A - B because it shows the vector A pointing in one direction and the vector B pointing in the opposite direction. When we subtract vector B from vector A, we get vector C which is shown in Diagram IV. The other diagrams do not accurately represent the subtraction of vector B from vector A.

Explanation

Diagram IV represents the vector addition C = A - B because it shows the vector A pointing in one direction and the vector B pointing in the opposite direction. When we subtract vector B from vector A, we get vector C which is shown in Diagram IV. The other diagrams do not accurately represent the subtraction of vector B from vector A.