Answered: A constant electric field accelerates a…

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter38: Relativity

Section: Chapter Questions

Problem 35P

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need help solving for C

A constant electric field accelerates a proton from rest through a distance of 1.55 m to a speed of 1.97 ✕ 10⁵ m/s. (The mass and charge of a proton are

m_p = 1.67 ✕ 10⁻²⁷ kg

and

q_p = e = 1.60 ✕ 10⁻¹⁹ C.)

HINT

(a)

Find the change in the proton's kinetic energy (in J).

3.24E-17 J

(b)

Find the change in the system's electric potential energy (in J).

The work done by the electric force and the change in electric potential energy are related by

W_Fe = −ΔPE.

This relationship holds for any conservative force: the work done by any conservative force equals the negative of the change in the associated potential energy. -3.24E-17J

(c)

Calculate the magnitude of the electric field (in N/C).

N/C

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