1. A small sphere of charge 0.800 µC hangs from the end of a spring. When another small sphere of charge -0.600 µC is held beneath the first sphere, the spring stretches by d = 3.50 cm from its original length and reaches a new equilibrium position with a separation between the charges of r= 5.00 cm. What is the force constant of the spring? (Assume the weight of the sphere is negligible in comparison to the magnitude of the other forces acting on the sphere)

1. A small sphere of charge 0.800 µC hangs from the end of a spring. When another small sphere of charge -0.600 µC is held beneath the first sphere, the spring stretches by d = 3.50 cm from its original length and reaches a new equilibrium position with a separation between the charges of r= 5.00 cm. What is the force constant of the spring? (Assume the weight of the sphere is negligible in comparison to the magnitude of the other forces acting on the sphere)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter23: Electric Forces

Section: Chapter Questions

Problem 48PQ: Two metal spheres of identical mass m = 4.00 g are suspended by light strings 0.500 m in length. The...

See similar textbooks

Similar questions

Two charges Q1(1+2.00C) and Q2(+2.00C are placed symmetrically along the x-axis at x=3.00cm . Consider a charge Q3 of charge +4.00C and mass 10.0 mg moving along the y-axis. If Q3 starts from rest at y= 2.00 cm, what is its speed when it reaches y = 4.00 cm?
Using the symmetry of the arrangement, determine the direction of the force on q in the figure below, given that qa=qb=+7.50C and qc = qd = 7.50C. (b) Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q = 2.00 C.
Two small spheres hang in equilibrium at the bottom ends of threads, 40.0 cm long, that have their top ends tied to the same fixed point. One sphere has mass 2.40 g and charge +300 nC. The other sphere has the same mass and charge +200 nC. Find the distance between the centers of the spheres.
An infinite line of positive charge lies along the y axis, with charge density = 2.00 C/m. A dipole is placed with its center along the x axis at x = 25.0 cm. The dipole consists of two charges 10.0 C separated by 2.00 cm. The axis of the dipole makes an angle of 35.0 with the x axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole.
Considering Figure 18.46, suppose that qa= qdand qb= qc. First show that q is in static equilibrium. (You may neglect the gravitational force.) Then discuss whether the equilibrium is stable or unstable, noting that this may depend on the signs of the charges and the direction of displacement of q from the center of the square.
Review. A particle with a charge of 60.0 nC is placed at the center of a nonconducting spherical shell of inner radius 20.0 cm and outer radius 25.0 cm. The spherical shell carries charge with a uniform density of 1.33 C/m3. A proton moves in a circular orbit just outside the spherical shell. Calculate the speed of the proton.
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.
(a) How strong is the attractive force between a glass rod with a 0.700 C charge and a silk cloth with a 0.600 C charge, which are 12.0 cm apart, using the approximation that they act like point charges? (b) Discuss how the answer to this problem might be affected if the charges are distributed over some area and do not act like point charges.
If two equal charges each of 1 C each are separated in air by a distance of 1 km, what is the magnitude of the force acting between them? You will see that even at a distance as large as 1 km, the repulsive force is substantial because 1 C is a very significant amount of charge.
48. Find the total Coulomb force on a charge q in Figure 18.53, given that q = 1.00 C, qa=2.00 C, qb=-3.00 C, qc,=-4.00C, and qd= + 1.00 C. The square is 50.0 cm on a side.
Integrated Concepts Figure 18.57 shows an electron passing between two charged metal plates that create an 100 N/C vertical electric field perpendicular to the electron's original horizontal velocity. (These can be used to change the electron’s direction, such as in an oscilloscope.) The initial speed of the electron is 3.00106 m/s, and the horizontal distance it travels in the uniform field is 4.00 cm. (a) What is its vertical deflection? (b) What is the vertical component of its final velocity? (c) At what angle does it exit? Neglect any edge effects.
Review. Two identical particles, each having charge +q, are fixed in space and separated by a distance d. A third particle with charge Q is free to move and lies initially at rest on the perpendicular bisector of the two fixed charges a distance x from the midpoint between those charges (Fig. P22.13). (a) Show that if x is small compared with d, the motion of Q is simple harmonic along the perpendicular bisector. (b) Determine the period of that motion. (c) How fast will the charge Q be moving when it is at the midpoint between the two fixed charges if initially it is released at a distance a d from the midpoint? Figure P22.13