4. In the figure, four-pont masses are placed as shown. What is the x and y coordinates of the center of mass? 3.0 m 2.0 m 40 kg 2.0 3.0 m 80 kg 6.0 kg 3.0 2.0 m 2.0 kg nh slides on a smooth surface along the x-axis with a speed 1 has a mass of O 2.0 m 3.0 m

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Chapter1: Units, Trigonometry. And Vectors
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**Transcription for Educational Website**

**4.** In the figure, four-point masses are placed as shown. What are the x and y coordinates of the center of mass?

[Diagram Explanation: The diagram shows a square arrangement of four masses at its vertices. The masses and coordinates are:  
- Mass: 8.0 kg at (2.0 m, 2.0 m)  
- Mass: 4.0 kg at (3.0 m, 4.0 m)  
- Mass: 6.0 kg at (2.0 m, 3.0 m)  
- Mass: 2.0 kg at (3.0 m, 2.0 m)]

**5.** A 1.2 kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of 0.50 m/s. At the origin 0, the bomb explodes into two fragments. Fragment 1 has a mass of 0.40 kg and a speed of 0.90 m/s along the negative y-axis. What is the energy released by the explosion?

**Diagrams for 5:**
- **Before Explosion:** A circle representing the bomb, labeled 1.2 kg, moves along the x-axis with a speed of 0.50 m/s starting from the origin.
- **After Explosion:** The bomb splits into two fragments.  
  - Fragment 1, with a mass of 0.40 kg, moves along the negative y-axis.
  - Fragment 2 is shown moving along an unspecified direction with its motion vector suggesting an analysis may be needed to find its trajectory.
Transcribed Image Text:**Transcription for Educational Website** **4.** In the figure, four-point masses are placed as shown. What are the x and y coordinates of the center of mass? [Diagram Explanation: The diagram shows a square arrangement of four masses at its vertices. The masses and coordinates are: - Mass: 8.0 kg at (2.0 m, 2.0 m) - Mass: 4.0 kg at (3.0 m, 4.0 m) - Mass: 6.0 kg at (2.0 m, 3.0 m) - Mass: 2.0 kg at (3.0 m, 2.0 m)] **5.** A 1.2 kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of 0.50 m/s. At the origin 0, the bomb explodes into two fragments. Fragment 1 has a mass of 0.40 kg and a speed of 0.90 m/s along the negative y-axis. What is the energy released by the explosion? **Diagrams for 5:** - **Before Explosion:** A circle representing the bomb, labeled 1.2 kg, moves along the x-axis with a speed of 0.50 m/s starting from the origin. - **After Explosion:** The bomb splits into two fragments. - Fragment 1, with a mass of 0.40 kg, moves along the negative y-axis. - Fragment 2 is shown moving along an unspecified direction with its motion vector suggesting an analysis may be needed to find its trajectory.
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