What is the maximum speed (in m/s) of a 4.9 g particle that oscillates between x = 2.0 mm and x = 8.0 mm in the diagram above

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Chapter1: Units, Trigonometry. And Vectors
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What is the maximum speed (in m/s) of a 4.9 g particle that oscillates between x = 2.0 mm and x = 8.0 mm in the diagram above.( 43 is incorrect)

The graph represents the potential energy \( U \) in joules (J) as a function of position \( x \) in millimeters (mm). The vertical axis is labeled \( U (J) \), and the horizontal axis is labeled \( x (mm) \).

- The graph is a curve that resembles a parabola opening upwards.
- At \( x = 0 \) mm, the potential energy is slightly above 5 J.
- As \( x \) increases, the potential energy decreases, reaching a minimum near \( x = 4 \) mm, where \( U \approx 0.5 \) J.
- Beyond \( x = 4 \) mm, the potential energy starts increasing again, going back above 5 J near \( x = 8 \) mm.
- The graph is symmetric around its minimum point.

This curve likely represents a system with a stable equilibrium at \( x = 4 \) mm, where the potential energy is minimized.
Transcribed Image Text:The graph represents the potential energy \( U \) in joules (J) as a function of position \( x \) in millimeters (mm). The vertical axis is labeled \( U (J) \), and the horizontal axis is labeled \( x (mm) \). - The graph is a curve that resembles a parabola opening upwards. - At \( x = 0 \) mm, the potential energy is slightly above 5 J. - As \( x \) increases, the potential energy decreases, reaching a minimum near \( x = 4 \) mm, where \( U \approx 0.5 \) J. - Beyond \( x = 4 \) mm, the potential energy starts increasing again, going back above 5 J near \( x = 8 \) mm. - The graph is symmetric around its minimum point. This curve likely represents a system with a stable equilibrium at \( x = 4 \) mm, where the potential energy is minimized.
Expert Solution
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mass (m) = 4.9 g = 0.0049 kg the oscillation is between 2 mm and 8 mm The potential energy in units of joules is plotted along the y axis 

 

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