# A small ball with charge q = 12.8 μC and mass m = 0.065 kg is suspended from the ceiling by a string of length L = 2 m and is initially at rest. A uniform horizontal electric field E of magnitude 500 V/m is applied to the ball-string system. The ball then begins to move. Ignore air resistance. a)Suppose point B is the highest point the ball can reach. Take θ as the angle of the string with the vertical direction at point B. Enter an expression for the change of gravitational potential energy ΔUg from point A to point B in terms of the symbols given.  b) Enter an expression for the change of the electrical potential energy ΔUe from point A to point B in terms of the symbols given.

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Introduction
Section: Chapter Questions
Problem 57AP: One gallon of paint (volume = 3.79 103 m3) covers an area of 25.0 m2. What is the thickness of the...
Question

A small ball with charge q = 12.8 μC and mass m = 0.065 kg is suspended from the ceiling by a string of length L = 2 m and is initially at rest. A uniform horizontal electric field E of magnitude 500 V/m is applied to the ball-string system. The ball then begins to move. Ignore air resistance.

a)Suppose point B is the highest point the ball can reach. Take θ as the angle of the string with the vertical direction at point B. Enter an expression for the change of gravitational potential energy ΔUg from point A to point B in terms of the symbols given.

b) Enter an expression for the change of the electrical potential energy ΔUe from point A to point B in terms of the symbols given.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

Knowledge Booster
Recommended textbooks for you
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University