Could you solve the question in the picture shown? **Problem 25:**A 10.0-g piece of Styrofoam carries a net charge of -0.700 μC and is suspended in equilibrium above the center of a large, horizontal sheet of plastic that has a uniform charge density on its surface. What is the charge per unit area on the plastic sheet?---**Explanation:**In this scenario, a piece of Styrofoam with a given net charge is suspended above a plastic sheet due to electrostatic forces. The equilibrium condition implies that the electrostatic force exerted by the charged sheet on the Styrofoam balances the gravitational force acting on it.To find the charge per unit area on the plastic sheet, consider:1. **Electrostatic Force:** This force is due to the electric field (E) produced by the charge density (σ) of the sheet, where \( E = \frac{\sigma}{2 \varepsilon_0} \).2. **Gravitational Force:** Given by \( F_g = mg \), where \( m = 10.0 \, \text{g} \) and \( g = 9.81 \, \text{m/s}^2 \).3. **Equilibrium Condition:** \( F_e = F_g \), where \( F_e = qE \), and \( q = -0.700 \, \mu \text{C} \).Using these, you can derive the charge density needed to keep the Styrofoam in equilibrium.

Given: The mass of the piece of Styrofoam is 10 g. The net charge is -0.7 μC. \

Answered: 25. A 10.0-g piece of Styrofoam carries…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 62P

See similar textbooks

Similar questions

A person is placed in a large, hollow, metallic sphere that is insulated from ground, (a) If a large charge is placed on the sphere, will the person be harmed upon touching the inside of the sphere? (b) Explain what will happen if the person also has an initial charge whose sign is opposite that of the charge on the sphere.
Assume the charged objects in Figure OQ23.10 are fixed. Notice that there is no sight line from the location of q2 to the location of q1. If you were at q1, you would be unable to see q2 because it is behind q3. How would you calculate the electric force exerted on the object with charge q1? (a) Find only the force exerted by q2 on charge q1. (b) Find only the force exerted by q3 an charge q1. (c) Add the force that q2 would exert by itself on charge q1 to the force that q3 would exert by itself on charge q1. (d) Add the force that q3 would exert by itself to a certain fraction of the force that q2 would exert by itself. (e) There is no definite way to find the force on charge q1.
The fundamental charge is e = 1.60 1019 C. Identify whether each of the following statements is true or false. (a) Its possible to transfer electric charge to an object so that its net electric charge is 7.5 times the fundamental electric charge, e. (b) All protons have a charge of +e. (c) Electrons in a conductor have a charge of e while electrons in an insulator have no charge.
You are working for the summer at a research laboratory. Your research director has devised a scheme for holding small charged particles at fixed positions. The scheme is shown in Figure P23.36. An insulating cylinder of radius a and length L a is positively charged and carries a uniform volume charge density . A very thin tunnel is drilled through a diameter of the cylinder and two small spheres with charge q are placed in the tunnel. These spheres are represented by the blue dots in the figure. They find equilibrium positions at a distance of r on opposite sides of the axis of the cylinder. Your research director has had great success with this scheme. (a) Determine the specific value of rat which equilibrium exists. (b) Your research director asks you see if he can extend the system as follows. Determine if it is possible to add transparent plastic tubes as extensions of the tunnel and have the small spheres be in equilibrium at a position for which r a. Figure P23.36
A large, metallic, spherical shell has no net charge. It is supported on an insulating stand and has a small hole at the top. A small tack with charge Q is lowered on a silk thread through the hole into the interior of the shell, (i) What is the charge on the inner surface of the shell, (a) Q (b) Q/2 (c) 0 (d) -Q/2 or (e) -Q? Choose your answers to the following questions from the same possibilities, (ii) What is The charge on the outer surface of the shell? (iii) The tack is now allowed to touch the interior surface of the shell. After this contact, what is the charge on the tack? (iv) What is the charge on the inner surface of the shell now? (v) What is the charge on the outer surface of the shell now?
Unreasonable results A wrecking yard inventor wants to pick up cars by charging a 0.400 m diameter ball and inducing an equal and opposite charge on the car. If a car has a 1000 kg mass and the ball is to be able to lift it from a distance of 1.00 m: (a) What minimum charge must be used? (b) What is the electric field near the surface of the ball? (c) Why are these results unreasonable? (d) Which premise or assumption is responsible?
(a) Two point charges totaling 8.00 C exert a repulsive force of 0.150 N on one another when separated by 0.500 m. What is the charge on each? (b) What is the charge on each if the force is attractive?
You are working for the summer at a research laboratory. Your research director has devised a scheme for holding small charged particles at fixed positions. The scheme is shown in Figure P23.35. A large insulating sphere of radius a carries a total positive charge Q with a uniform volume charge density. A very thin tunnel is drilled through a diameter of the sphere and two small spheres with charge q are placed in the tunnel. These spheres are represented by the blue dots in the figure. They find equilibrium positions at a distance of r on either side of the center of the sphere. Your research director has had great success with this scheme. (a) Determine the specific value of r at which equilibrium exists. (b) Your research director asks you to see if he can extend the system as follows. Determine if it is possible to add transparent plastic tubes as extensions of the tunnel and have the small spheres be in equilibrium at a position for which r a. Figure P23.35
A test charge of +3 C is at a point P where an external electric field is directed to the right and has a magnitude of 4 06 N/C. If the test charge is replaced with another charge of 3 C, what happens to the external electric field at P? (a) It is unaffected. (b) It reverses direction. (c) It changes in a way that cannot be determined.
A hollow, metallic, spherical shell has exterior radius 0.750 m, carries no net charge, and is supported on an insulating stand. The electric field everywhere just outside its surface is 890 N/C radially toward the center of the sphere. Explain what you can conclude about (a) the amount of charge on the exterior surface of the sphere and the distribution of this charge, (b) the amount of charge on the interior surface of the sphere and its distribution, and (c) the amount of charge inside the shell and its distribution.
Review. A light, unstressed spring has length d. Two identical particles, each with charge q, are connected to the opposite ends of the spring. The particles are held stationary a distance d apart and then released at the same moment. The system then oscillates on a frictionless, horizontal table. The spring has a bit of internal kinetic friction, so the oscillation is damped. The particles eventually stop vibrating when the distance between them is 3d. Assume the system of the spring and two charged particles is isolated. Find the increase in internal energy that appears in the spring during the oscillations.
A Two positively charged spheres with charges 4e and e are separated by a distance L and held motionless. A third charged sphere with charge Q is set between the two spheres and along the line joining them. The third sphere is in static equilibrium. What is the distance between the third charged sphere and the sphere that has charge 4e?

SEE MORE QUESTIONS

Recommended textbooks for you

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers, Technology …

Physics

ISBN:

9781305116399

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

College Physics

Physics

ISBN:

9781938168000

Author:

Paul Peter Urone, Roger Hinrichs

Publisher:

OpenStax College

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers, Technology …

Physics

ISBN:

9781305116399

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

College Physics

Physics

ISBN:

9781938168000

Author:

Paul Peter Urone, Roger Hinrichs

Publisher:

OpenStax College

University Physics Volume 2

Physics

ISBN:

9781938168161

Author:

OpenStax

Publisher:

OpenStax

Physics for Scientists and Engineers with Modern …

Physics

ISBN:

9781337553292

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

25. A 10.0-g piece of Styrofoam carries a net charge of AMT -0.700 µC and is suspended in equilibrium above the center of a large, horizontal sheet of plastic that has a uniform charge density on its surface. What is the charge ner unit area on the plastic sheet?