Along the x-axis, the potential is given by:V(x) = 2.16 - 0.251x - 0.137x where x is in meters, and V is in Volts.Find the acceleration if a proton as it passes through the point (0.316 m, 0),2in m/s. The sign of the answer will give the direction of the force.

Answered: Álong the x-axis, the potential is…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Concept explainers

Question

Along the x-axis, the potential is given by:
V(x) = 2.16 - 0.251x - 0.137x where x is in meters, and V is in Volts.
Find the acceleration if a proton as it passes through the point (0.316 m, 0),
2
in m/s. The sign of the answer will give the direction of the force.

Expert Solution

Step 1

The electric field is the negative gradient of electric potential. The electric field is given by,

$\begin{array}{rcl} E (x) & = & - \frac{d V (x)}{d x} \\ = & - \frac{d (2.16 - 0.251 x^{2} - 0.137 x)}{d x} \\ = & - (- 0.502 x - 0.137) \\ = & 0.502 x + 0.137 \end{array}$

The electric field at the point $(0.316 m, 0)$ is found as,

$\begin{array}{rcl} E & = & 0.502 (0.316) + 0.137 \\ = & 0.2956 N/C \end{array}$

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions