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book College Physics 10th Edition by Raymond Serway,Chris Vuille cover

College Physics 10th Edition by Raymond Serway,Chris Vuille

Edition 10ISBN: 978-1285737041
book College Physics 10th Edition by Raymond Serway,Chris Vuille cover

College Physics 10th Edition by Raymond Serway,Chris Vuille

Edition 10ISBN: 978-1285737041
Exercise 2
A positive charge q 1 = 2.70 C on a frictionless horizontal surface is attached to a spring of force constant k as in Figure P15.12. When a charge of q 2 = 28.60 C is placed 9.50 cm away from the positive charge, the spring stretches by 5.00 mm, reducing the distance between charges to d = 9.00 cm. Find the value of k.
Explanation
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Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges. Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . Here, Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . is the Coulomb's constant, Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . is the charge of the particle 1, Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . is the charge of the particle 2, and Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . is the distance between the two particles.
The number of force acts on the charge Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . is shown in the below figure. Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . The magnitude of the restoring force of the spring along the horizontal-direction is, Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . Here, Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . is force constant of the spring and Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . is stretched length of the spring.
The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges. Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . Rewrite the equation for Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . . Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . Substitute Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . for Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . , Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . for Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . , Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . for Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . , and Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . for Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . . Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . Therefore, the force constant of the spring is Coulomb's law states that the electro static force between the two charges is directly proportional to the charge of each particle and inversely proportional to the square of the distance between the two charges.   Here,   is the Coulomb's constant,   is the charge of the particle 1,   is the charge of the particle 2, and   is the distance between the two particles. The number of force acts on the charge   is shown in the below figure.   The magnitude of the restoring force of the spring along the horizontal-direction is,   Here,   is force constant of the spring and   is stretched length of the spring. The magnitude of the restoring force of the spring is balanced with the electrostatic force between the two charges.   Rewrite the equation for   .   Substitute   for   ,   for   ,   for   , and   for   .   Therefore, the force constant of the spring is   . .
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College Physics 10th Edition by Raymond Serway,Chris Vuille
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