An electron at rest at P = ( 5 , 3 , 7 ) moves along a path ending at Q = ( 1 , 1 , 1 ) under the influence of the electric field (in newton per coulomb) F ( x , y , z ) = 400 ( x 2 + z 2 ) − 1 〈 x , 0 , z 〉 . (a) Find the potential function for F. (b) What is the electron’s speed at point Q ? Use Conservation of Energy and the value q e / m e = − 1.376 × 10 11 C / k g , where q e and m e are the charge and mass on the electron, respectively.

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Answer 1

Question

Chapter 17.3, Problem 30E

To determine

To determine:

An electron at rest at $P = (5, 3, 7)$ moves along a path ending at $Q = (1, 1, 1)$ under the influence of the electric field (in newton per coulomb)

$F (x, y, z) = 400 {(x^{2} + z^{2})}^{- 1} 〈 x, 0, z 〉$ .

(a) Find the potential function for F.

(b) What is the electron’s speed at point Q? Use Conservation of Energy and the value $q_{e} / m_{e} = - 1.376 \times 10^{11} C / k g$ , where q_e and m_e are the charge and mass on the electron, respectively.

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Answer 2

Question

Chapter 17.3, Problem 30E

To determine

To determine:

An electron at rest at $P = (5, 3, 7)$ moves along a path ending at $Q = (1, 1, 1)$ under the influence of the electric field (in newton per coulomb)

$F (x, y, z) = 400 {(x^{2} + z^{2})}^{- 1} 〈 x, 0, z 〉$ .

(a) Find the potential function for F.

(b) What is the electron’s speed at point Q? Use Conservation of Energy and the value $q_{e} / m_{e} = - 1.376 \times 10^{11} C / k g$ , where q_e and m_e are the charge and mass on the electron, respectively.

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Answer 3

Question

Chapter 17.3, Problem 30E

To determine

To determine:

An electron at rest at $P = (5, 3, 7)$ moves along a path ending at $Q = (1, 1, 1)$ under the influence of the electric field (in newton per coulomb)

$F (x, y, z) = 400 {(x^{2} + z^{2})}^{- 1} 〈 x, 0, z 〉$ .

(a) Find the potential function for F.

(b) What is the electron’s speed at point Q? Use Conservation of Energy and the value $q_{e} / m_{e} = - 1.376 \times 10^{11} C / k g$ , where q_e and m_e are the charge and mass on the electron, respectively.

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Answer 4

Question

Chapter 17.3, Problem 30E

To determine

To determine:

An electron at rest at $P = (5, 3, 7)$ moves along a path ending at $Q = (1, 1, 1)$ under the influence of the electric field (in newton per coulomb)

$F (x, y, z) = 400 {(x^{2} + z^{2})}^{- 1} 〈 x, 0, z 〉$ .

(a) Find the potential function for F.

(b) What is the electron’s speed at point Q? Use Conservation of Energy and the value $q_{e} / m_{e} = - 1.376 \times 10^{11} C / k g$ , where q_e and m_e are the charge and mass on the electron, respectively.

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Answer 5

Chapter 17.3, Problem 30E

To determine

To determine:

An electron at rest at $P = (5, 3, 7)$ moves along a path ending at $Q = (1, 1, 1)$ under the influence of the electric field (in newton per coulomb)

$F (x, y, z) = 400 {(x^{2} + z^{2})}^{- 1} 〈 x, 0, z 〉$ .

(a) Find the potential function for F.

(b) What is the electron’s speed at point Q? Use Conservation of Energy and the value $q_{e} / m_{e} = - 1.376 \times 10^{11} C / k g$ , where q_e and m_e are the charge and mass on the electron, respectively.

Answer 6

Chapter 17.3, Problem 30E

To determine

To determine:

An electron at rest at $P = (5, 3, 7)$ moves along a path ending at $Q = (1, 1, 1)$ under the influence of the electric field (in newton per coulomb)

$F (x, y, z) = 400 {(x^{2} + z^{2})}^{- 1} 〈 x, 0, z 〉$ .

(a) Find the potential function for F.

(b) What is the electron’s speed at point Q? Use Conservation of Energy and the value $q_{e} / m_{e} = - 1.376 \times 10^{11} C / k g$ , where q_e and m_e are the charge and mass on the electron, respectively.

Answer 7

Chapter 17.3, Problem 30E

To determine

To determine:

An electron at rest at $P = (5, 3, 7)$ moves along a path ending at $Q = (1, 1, 1)$ under the influence of the electric field (in newton per coulomb)

$F (x, y, z) = 400 {(x^{2} + z^{2})}^{- 1} 〈 x, 0, z 〉$ .

(a) Find the potential function for F.

(b) What is the electron’s speed at point Q? Use Conservation of Energy and the value $q_{e} / m_{e} = - 1.376 \times 10^{11} C / k g$ , where q_e and m_e are the charge and mass on the electron, respectively.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 17.1 - Prob. 1PQ Ch. 17.1 - Prob. 2PQ Ch. 17.1 - Prob. 3PQ Ch. 17.1 - Prob. 4PQ Ch. 17.1 - Prob. 1E Ch. 17.1 - Prob. 2E Ch. 17.1 - Prob. 3E Ch. 17.1 - Prob. 4E Ch. 17.1 - Prob. 5E Ch. 17.1 - Prob. 6E

Solution Summary: The author explains that an electron at rest at P = moves along a path ending at Q = under the influence of the electric field (in newton per coulomb).

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