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Two point charges Q1 = -2.92 µC and Q2 = 2.52 µC are shown in the figure. Q₁ is located at (-2.1 cm, 0.0 cm) while Q2 is at (0.0 cm, - 2.6 cm)). Use k = 9.0 x 10⁹ Nm²/C² (A) Find the electric potential at the origin. V = (B) If a -2.81 nC charge with a mass of 12.3 g is released from rest at the origin, how fast will it be moving when it is very far away from the charges? V = (C) If a proton is released from rest very far away from the charges shown above, how fast would it be moving at the origin? V=

Two point charges Q1 = -2.92 µC and Q2 = 2.52 µC are shown in the figure. Q₁ is located at (-2.1 cm, 0.0 cm) while Q2 is at (0.0 cm, - 2.6 cm)). Use k = 9.0 x 10⁹ Nm²/C² (A) Find the electric potential at the origin. V = (B) If a -2.81 nC charge with a mass of 12.3 g is released from rest at the origin, how fast will it be moving when it is very far away from the charges? V = (C) If a proton is released from rest very far away from the charges shown above, how fast would it be moving at the origin? V=

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Two point charges \( Q_1 = -2.92 \, \mu C \) and \( Q_2 = 2.52 \, \mu C \) are shown in the figure. \( Q_1 \) is located at \((-2.1 \, \text{cm}, 0.0 \, \text{cm})\) while \( Q_2 \) is at \((0.0 \, \text{cm}, -2.6 \, \text{cm})\). Use \( k = 9.0 \times 10^9 \, \text{Nm}^2/\text{C}^2 \). (A) Find the electric potential at the origin. \[ V = \] (B) If a \(-2.81 \, \text{nC}\) charge with a mass of \(12.3 \, \text{g}\) is released from rest at the origin, how fast will it be moving when it is very far away from the charges? \[ v = \] (C) If a proton is released from rest very far away from the charges shown above, how fast would it be moving at the origin? \[ v = \] **Explanation of the figure:** The figure depicts two charges on an x-y coordinate plane. - Charge \( Q_1 \) is represented by a red circle with a negative sign, indicating it is negative, placed at coordinates \((-2.1 \, \text{cm}, 0.0 \, \text{cm})\). - Charge \( Q_2 \) is represented by a blue circle with a positive sign, indicating it is positive, located at coordinates \((0.0 \, \text{cm}, -2.6 \, \text{cm})\). These positions suggest that \( Q_1 \) is to the left of the origin along the x-axis, and \( Q_2 \) is below the origin along the y-axis.
Transcribed Image Text:Two point charges \( Q_1 = -2.92 \, \mu C \) and \( Q_2 = 2.52 \, \mu C \) are shown in the figure. \( Q_1 \) is located at \((-2.1 \, \text{cm}, 0.0 \, \text{cm})\) while \( Q_2 \) is at \((0.0 \, \text{cm}, -2.6 \, \text{cm})\). Use \( k = 9.0 \times 10^9 \, \text{Nm}^2/\text{C}^2 \). (A) Find the electric potential at the origin. \[ V = \] (B) If a \(-2.81 \, \text{nC}\) charge with a mass of \(12.3 \, \text{g}\) is released from rest at the origin, how fast will it be moving when it is very far away from the charges? \[ v = \] (C) If a proton is released from rest very far away from the charges shown above, how fast would it be moving at the origin? \[ v = \] **Explanation of the figure:** The figure depicts two charges on an x-y coordinate plane. - Charge \( Q_1 \) is represented by a red circle with a negative sign, indicating it is negative, placed at coordinates \((-2.1 \, \text{cm}, 0.0 \, \text{cm})\). - Charge \( Q_2 \) is represented by a blue circle with a positive sign, indicating it is positive, located at coordinates \((0.0 \, \text{cm}, -2.6 \, \text{cm})\). These positions suggest that \( Q_1 \) is to the left of the origin along the x-axis, and \( Q_2 \) is below the origin along the y-axis.
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