The diagram above is the potential-energy diagram for a 440 g particle that is released from rest at point A. What is the particle's speed (in m/s) at B?  What is the particle's speed (in m/s) at C?  What is the particle's speed (in m/s) at D?

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Chapter1: Units, Trigonometry. And Vectors
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The diagram above is the potential-energy diagram for a 440 g particle that is released from rest at point A. What is the particle's speed (in m/s) at B? 

What is the particle's speed (in m/s) at C? 

What is the particle's speed (in m/s) at D? 

This image depicts a graph of potential energy \( U \) in joules (J) versus position \( x \). Here's a detailed explanation of the graph:

**Graph Description:**
- The vertical axis represents the potential energy \( U \), measured in joules (J), ranging from 0 to 5.
- The horizontal axis represents the position \( x \), with labeled points A, B, C, and D.

**Graph Analysis:**
1. **Point A:** At this point, the potential energy starts at a high value of 5 J.
2. **Segment AB:** The graph shows a decreasing trend in potential energy as it moves towards point B, where the energy is at a local minimum (approximately 2.5 J).
3. **Segment BC:** After point B, the potential energy begins to increase, reaching a local maximum at point C (around 3.5 J).
4. **Segment CD:** From point C to point D, there is a sharp decrease in potential energy, reaching a very low point just after D (approximately 0 J), then slightly increasing.

This energy curve is typical in physics, often illustrating the concept of potential wells, where energy varies with spatial position, influencing system stability and behavior.
Transcribed Image Text:This image depicts a graph of potential energy \( U \) in joules (J) versus position \( x \). Here's a detailed explanation of the graph: **Graph Description:** - The vertical axis represents the potential energy \( U \), measured in joules (J), ranging from 0 to 5. - The horizontal axis represents the position \( x \), with labeled points A, B, C, and D. **Graph Analysis:** 1. **Point A:** At this point, the potential energy starts at a high value of 5 J. 2. **Segment AB:** The graph shows a decreasing trend in potential energy as it moves towards point B, where the energy is at a local minimum (approximately 2.5 J). 3. **Segment BC:** After point B, the potential energy begins to increase, reaching a local maximum at point C (around 3.5 J). 4. **Segment CD:** From point C to point D, there is a sharp decrease in potential energy, reaching a very low point just after D (approximately 0 J), then slightly increasing. This energy curve is typical in physics, often illustrating the concept of potential wells, where energy varies with spatial position, influencing system stability and behavior.
Expert Solution
Step 1

As Particle is at rest at point A, hence have zero kinetic energy  at A.

And as energy is conserved ,the change in potential energy from A to B is converted to Kinetic energy:

 

K.E.=UA-UB=5-2=3 Jor12mv2=3 orv2=6m=60.44                     (As m=0.44 kg)orv=3.69 m/s

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