For the three cases shown below, assuming the displacement is 4.0 m to the right. Match the answers with questions. the work done by the 10-N force                                                                        the work done by the 8-N force                                                                        the work done by the 6-N force A. 24 J B. 16 J C. 32 J D. 40 J E. 0 J

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Chapter1: Units, Trigonometry. And Vectors
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For the three cases shown below, assuming the displacement is 4.0 m to the right. Match the answers with questions.

the work done by the 10-N force

                                                                      

the work done by the 8-N force

                                                                      

the work done by the 6-N force

A.

24 J

B.

16 J

C.

32 J

D.

40 J

E.

0 J 

The image consists of three vector diagrams, each depicting forces labeled with magnitudes and directions in relation to a common direction represented by the vector \(\vec{d}\).

1. **First Diagram:**
   - A red arrow pointing vertically upwards with a magnitude of 10 N.
   - A blue arrow pointing horizontally to the right, labeled \(\vec{d}\).
   - The red arrow is perpendicular to the blue vector \(\vec{d}\).

2. **Second Diagram:**
   - A red arrow inclined at a 60° angle above the horizontal blue vector \(\vec{d}\).
   - The magnitude of the red arrow is 8 N.
   - The blue vector is horizontally aligned to the right.

3. **Third Diagram:**
   - Both the red and blue arrows are horizontally aligned to the right.
   - The red arrow has a magnitude of 6 N.
   - The blue vector is labeled \(\vec{d}\).

These diagrams illustrate vector addition and the components of forces in different directions.
Transcribed Image Text:The image consists of three vector diagrams, each depicting forces labeled with magnitudes and directions in relation to a common direction represented by the vector \(\vec{d}\). 1. **First Diagram:** - A red arrow pointing vertically upwards with a magnitude of 10 N. - A blue arrow pointing horizontally to the right, labeled \(\vec{d}\). - The red arrow is perpendicular to the blue vector \(\vec{d}\). 2. **Second Diagram:** - A red arrow inclined at a 60° angle above the horizontal blue vector \(\vec{d}\). - The magnitude of the red arrow is 8 N. - The blue vector is horizontally aligned to the right. 3. **Third Diagram:** - Both the red and blue arrows are horizontally aligned to the right. - The red arrow has a magnitude of 6 N. - The blue vector is labeled \(\vec{d}\). These diagrams illustrate vector addition and the components of forces in different directions.
The image displays three vector diagrams illustrating forces acting on a vector \(\vec{d}\).

1. **First Diagram**:
    - A red arrow of magnitude 10 N is pointing vertically upwards.
    - The blue arrow \(\vec{d}\) is oriented horizontally to the right.

2. **Second Diagram**:
    - A red arrow of magnitude 8 N forms a 60° angle above the horizontal axis.
    - The blue arrow \(\vec{d}\) is oriented horizontally to the right. 

3. **Third Diagram**:
    - A red arrow of magnitude 6 N is directed horizontally to the right.
    - The blue arrow \(\vec{d}\) is oriented in the same direction as the red arrow, horizontally to the right.

Each diagram highlights various force vectors interacting with the vector \(\vec{d}\), emphasizing the angles and magnitudes involved in vector addition and resolution.
Transcribed Image Text:The image displays three vector diagrams illustrating forces acting on a vector \(\vec{d}\). 1. **First Diagram**: - A red arrow of magnitude 10 N is pointing vertically upwards. - The blue arrow \(\vec{d}\) is oriented horizontally to the right. 2. **Second Diagram**: - A red arrow of magnitude 8 N forms a 60° angle above the horizontal axis. - The blue arrow \(\vec{d}\) is oriented horizontally to the right. 3. **Third Diagram**: - A red arrow of magnitude 6 N is directed horizontally to the right. - The blue arrow \(\vec{d}\) is oriented in the same direction as the red arrow, horizontally to the right. Each diagram highlights various force vectors interacting with the vector \(\vec{d}\), emphasizing the angles and magnitudes involved in vector addition and resolution.
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