Two plates separated by a distance d = 14.8 mm are charged to a potential difference V = 7.25 V. A constant force F = 9.81 N pushes a –8.30 mC charge from the positively charged plate to the negatively charged plate. Calculate the change in the kinetic energy AK, potential energy AU, and total energy AE of the charge as it travels from one plate to the other. Assume the initial speed of the charge is 0. AK = J d AU = J ΔΕ - J

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Chapter1: Units, Trigonometry. And Vectors
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**Educational Content:**

**Charge Movement Between Plates**

Two plates separated by a distance \( d = 14.8 \, \text{mm} \) are charged to a potential difference \( V = 7.25 \, \text{V} \). A constant force \( F = 9.81 \, \text{N} \) pushes a \( -8.30 \, \text{mC} \) charge from the positively charged plate to the negatively charged plate.

Calculate the change in the kinetic energy \( \Delta K \), potential energy \( \Delta U \), and total energy \( \Delta E \) of the charge as it travels from one plate to the other. Assume the initial speed of the charge is 0.

\[ \Delta K = \underline{\hspace{4cm}} \, \text{J} \]

\[ \Delta U = \underline{\hspace{4cm}} \, \text{J} \]

\[ \Delta E = \underline{\hspace{4cm}} \, \text{J} \]

**Diagram Explanation:**

On the right side of the text, there is a diagram illustrating two parallel plates separated by a distance \( d \). The plates are labeled with positive (\(+\)) and negative (\(-\)) signs to indicate the distribution of charge. A potential difference \( V \) is applied across the plates. A charge with a negative symbol is represented between the plates, and an orange arrow labeled \( F \) points from the charge towards the positively charged plate, indicating the direction of the applied force.
Transcribed Image Text:**Educational Content:** **Charge Movement Between Plates** Two plates separated by a distance \( d = 14.8 \, \text{mm} \) are charged to a potential difference \( V = 7.25 \, \text{V} \). A constant force \( F = 9.81 \, \text{N} \) pushes a \( -8.30 \, \text{mC} \) charge from the positively charged plate to the negatively charged plate. Calculate the change in the kinetic energy \( \Delta K \), potential energy \( \Delta U \), and total energy \( \Delta E \) of the charge as it travels from one plate to the other. Assume the initial speed of the charge is 0. \[ \Delta K = \underline{\hspace{4cm}} \, \text{J} \] \[ \Delta U = \underline{\hspace{4cm}} \, \text{J} \] \[ \Delta E = \underline{\hspace{4cm}} \, \text{J} \] **Diagram Explanation:** On the right side of the text, there is a diagram illustrating two parallel plates separated by a distance \( d \). The plates are labeled with positive (\(+\)) and negative (\(-\)) signs to indicate the distribution of charge. A potential difference \( V \) is applied across the plates. A charge with a negative symbol is represented between the plates, and an orange arrow labeled \( F \) points from the charge towards the positively charged plate, indicating the direction of the applied force.
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