1) Assume that you are way out in space, very very far away from other masses, and you have two identical particles each of which has the charge of a electron. Suppose you hold both of these particles 0.1m apart from each other and then release them. What mass would these particles have to have in order for the gravitational force to exactly balance the electric force? (So that they don't move.)

1) Assume that you are way out in space, very very far away from other masses, and you have two identical particles each of which has the charge of a electron. Suppose you hold both of these particles 0.1m apart from each other and then release them. What mass would these particles have to have in order for the gravitational force to exactly balance the electric force? (So that they don't move.)

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 6P

See similar textbooks

Similar questions

(a) Find the magnitude and direction of the electric field at the position of the 2.00 C charge in Figure P13.13. (b) How would the electric field at that point be affected if the charge there were doubled? Would the magnitude of the electric force be affected?
What is the magnitude of the electric field due to a charged particle at its exact location (r = 0)?
Two horizontal metal plates, each 10.0 cm square, are aligned 1.00 cm apart with one above the other. They are given equal-magnitude charges of opposite sign so that a uniform downward electric field of 2.00 103 N/C exists in the region between them. A particle of mass 2.00 1016 kg and with a positive charge of 1.00 106 C leaves the center of the bottom negative plate with an initial speed of 1.00 x 105 m/s at an angle of 37.0 above the horizontal. (a) Describe the trajectory of the particle, (b) Which plate does it strike? (c) Where does it strike, relative to its starting point?
Nobel laureate Richard Feynman (19181088) once said that if two persons stood at arms length from each other and each person had 1% more electrons than protons, the force of repulsion between them would be enough to lift a weight equal to that of the entire Earth. Carry out an order-of-magnitude calculation to substantiate this assertion.
Review. From a large distance away, a particle of mass m1, and positive charge q1 is fired at speed in the positive x direction straight toward a second particle, originally stationary but free to move, with mass m2, and positive charge q2. Both particles are constrained to move only along the x axis. (a) At the instant of closest approach, both particles will be moving at the same velocity. Find this velocity, (b) Find the distance of closest approach. After the interaction, the particles will move far apart again. At this time, find the velocity of (c) the particle of mass m1, and (d) the particle of mass m2.
(i) A metallic sphere A of radius 1.00 cm is several centimeters away from a metallic spherical shell B of radius 2.00 cm. Charge 450 nC is placed on A, with no charge on B or anywhere nearby. Next, the two objects are joined by a long, thin, metallic wire (as shown in Fig. 25.19), and finally the wire is removed. How is the charge shared between A and B? (a) 0 on A. 450 nC on B (b) 90.0 nC on A and 360 nC on B, with equal surface charge densities (c) 150 nC on A and 300 nC on B (d) 225 nC on A and 225 nC on B (e) 450 nC on A and 0 on B (ii) A metallic sphere A of radius 1 cm with charge 450 nC hangs on an insulating thread inside an uncharged thin metallic spherical shell B of radius 2 cm. Next, A is made temporarily to touch the inner surface of B. How is the charge then shared between them? Choose from the same possibilities. Arnold Arons, the only physics teacher yet to have his picture on the cover ol Time magazine, suggested the idea for this question.
A proton and an alpha particle (charge = 2e, mass = 6.64 1027 kg) are initially at rest, separated by 4.00 1015 m. (a) If they are both released simultaneously, explain why you cant find their velocities at infinity using only conservation of energy. (b) What other conservation law can be applied in this case? (c) Find the speeds of the proton and alpha particle, respectively, at infinity.
Two large neutral metal plates, fitted tightly against each other, are placed between two particles with charges of equal magnitude but opposite sign, such that the plates are perpendicular to the line connecting the charges (Fig. P24.10). What will happen to each plate when they are released and allowed to move freely? Draw the electric field lines for the particles-plates system. FIGURE P24.10
(a) What is the electric field 5.00 m from die center of the terminal of a Van de Graaff with a 3.00-mC charge, noting that the field is equivalent to that of a point charge at the center of the terminal? (b) At this distance, what force does the field exert on a 2.00C charge on the Van de Graaff’s belt?
(a) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in Figure P15.10. (b) If a charge of 2.00 C is placed at this point, what are the magnitude and direction of the force on it?
Two metal spheres of identical mass m = 4.00 g are suspended by light strings 0.500 m in length. The left-hand sphere carries a charge of 0.800 C, and the right-hand sphere carries a charge of 1.50 C. What is the equilibrium separation between the centers of the two spheres?
Review. Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.100 kg and 0.700 kg, and uniformly distributed charges 2.00 C and 3.00 C. They are released from rest when their centers are separated by 1.00 m. (a) How fast will each be moving when they collide? (b) What If? It the spheres were conductors, would the speeds be greater or less than those calculated in part (a)? Explain.