**Problem Statement:**A small plastic ball of mass $ m = 2.50 \, \text{g} $ is suspended by a string of length $ L = 19.5 \, \text{cm} $ in a uniform electric field, as shown in the figure below. If the ball is in equilibrium when the string makes a $ \theta = 14.0^\circ $ angle with the vertical as indicated, what is the net charge on the ball?**Diagram Description:**The diagram illustrates a small ball suspended from a fixed point by a string, forming an angle $ \theta $ with the vertical axis. The relevant elements include:- **Ball and Mass (m):** The ball is depicted as a small circle with a mass $ m = 2.50 \, \text{g} $.- **String Length (L):** The string has a length $ L = 19.5 \, \text{cm} $, connecting the ball to a fixed support above.- **Angle ($ \theta $) with Vertical:** The string is shown to form an angle $ \theta = 14.0^\circ $ with the vertical line.- **Electric Field (E):** Horizontal arrows indicate a uniform electric field directed to the right with a magnitude of $ E = 1.00 \times 10^3 \, \text{N/C} $.- **Coordinate Axes:** The diagram includes $ x $ and $ y $ axes for reference, with $ y $ being vertical and $ x $ horizontal.This setup illustrates the forces acting on the ball, including gravitational force, tension in the string, and electric force due to the electric field, allowing for the determination of the net charge on the ball in equilibrium.

Given data: Mass (m) = 2.50 g = 2.50×10-3 kg Length (L) = 19.5 cm Angle (θ) = 14.0°,with the…

A small plastic ball of mass m = 2.50 g is suspended by a string of length L = 19.5 cm in a uniform electric field, as shown in the figure below. If the ball is in equilibrium when the string makes a 0 = 14.0° angle with the vertical as indicated, what is the net charge on the ball? 8 E=1.00 x 10³ N/C L m Ⓡ

A small plastic ball of mass m = 2.50 g is suspended by a string of length L = 19.5 cm in a uniform electric field, as shown in the figure below. If the ball is in equilibrium when the string makes a 0 = 14.0° angle with the vertical as indicated, what is the net charge on the ball? 8 E=1.00 x 10³ N/C L m Ⓡ

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)...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

**Problem Statement:**
A small plastic ball of mass $ m = 2.50 \, \text{g} $ is suspended by a string of length $ L = 19.5 \, \text{cm} $ in a uniform electric field, as shown in the figure below. If the ball is in equilibrium when the string makes a $ \theta = 14.0^\circ $ angle with the vertical as indicated, what is the net charge on the ball?

**Diagram Description:**
The diagram illustrates a small ball suspended from a fixed point by a string, forming an angle $ \theta $ with the vertical axis. The relevant elements include:

- **Ball and Mass (m):** The ball is depicted as a small circle with a mass $ m = 2.50 \, \text{g} $.
- **String Length (L):** The string has a length $ L = 19.5 \, \text{cm} $, connecting the ball to a fixed support above.
- **Angle ($ \theta $) with Vertical:** The string is shown to form an angle $ \theta = 14.0^\circ $ with the vertical line.
- **Electric Field (E):** Horizontal arrows indicate a uniform electric field directed to the right with a magnitude of $ E = 1.00 \times 10^3 \, \text{N/C} $.
- **Coordinate Axes:** The diagram includes $ x $ and $ y $ axes for reference, with $ y $ being vertical and $ x $ horizontal.

This setup illustrates the forces acting on the ball, including gravitational force, tension in the string, and electric force due to the electric field, allowing for the determination of the net charge on the ball in equilibrium.

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