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Only Need F and G m l Two small insulating balls with charge +q and mass...
42 In Fig. 21-38, two tiny conducting balls of identical mass m and identical charge q hang from nonconducting threads of length L. Assume that θ is so small that tan 0 can be replaced by its approximate equal, sin θ (a) Show that gives the equilibrium separation x of the balls. (b) If L = 120 cm, m = 10 g, and x = 5.0 cm, what is igl? Scanned by CamScan
A small sphere of charge q+67 pC and mass m-5.4 g is attached to a light string and placed in a uniform electric field e that makes an angle θ-31° with the horizontal. The opposite end of the string is attached to a wall and the sphere is in static equilibrium when the string is horizontal as in the figure shown below. (a) Construct a free body diagram for the sphere. (Submit a file with a maximum size of 1...
4. A particle of mass m and charge q is constrained to move along a straight line between two point charges of equal charge Q separated by distance 2L. The sign of all three charges is the same so that the charge q is repelled by the other two particles. (a) (5 points) What is equilibrium position of charge q? Use the symmetry of the system. Is the equilibrium stable or unstable? (b) (5 points) Chose the origin of your...
In the figure two tiny conducting balls of identical mass m and identical charge q hang from nonconducting threads of length L. Assume that θ is so small that tan θ can be replaced by its approximate equal, sin θ. If L = 180 cm, m = 15 g, and x = 7.2 cm, what is the magnitude of q?
In the Rutherford model of the hydrogen atom, a proton (mass M, charge Q) is the nucleus and an electron (mass m, charge q) moves around the proton in a circle of radius r. Let k denote the Coulomb force constant (1/4peo) and G the universal gravitational constant. The ratio of the electrostatic force to the gravitational force between electron and proton is: Select one: a. kMm/ GQq b.kQq/GMm c. GQq/kMm d. kQq/GMmr2 e. GMm/kQq
A block having mass m and charge +Q is connected to an insulating spring having a force constant k. The block lies on a frictionless, insulating, horizontal track, and the system is immersed in a unifornm field of magnitude E directed as shown in the figure below. The block is released from rest when the spring is unstretched (at x = 0), we wish to show that the ensuing motion of the block is simple harma n, x-0 (a) Consider...
Two stars, each of mass M, orbit around their center of mass. The radius of their common orbit is r (their separation is 2r). A planetoid of mass m (<< M) happens to move along the axis of the system (the line perpendicular to the orbital plane which intersects the center of mass) as shown in the figure. a. Calculate directly the force on the planetoid if it is displaced a distance z from the center of mass (you’ll need...
A block having mass m and charge +Q is connected to an insulating spring having a force constant k. The block lies on a frictionless, insulating, horizontal track, and the system is immersed In a uniform electric field of magnitude E directed as shown in the figure below. The block Is released from rest when the spring Is unstretched (at x = 0). We wish to show that the ensuing motion of the block is simple harmonic. (a) Consider the system...
Electric fields, please explain answers. 1. Suppose that for these two equally charged pith-balls of mass m 1.0 × 10-4kg hanging from strings of length a-0.25m, θ 10°-π/18rad, what charge q is on each of them? 2. A positive ion of charge q1.6x 10-1C and mass 1.6x 10-23kg is "shot" at initial speed vo 5000m/s into a region containing a strong electric field E = 1000N/CJ of width L = 0.2m used to deflect a beam of such ions. How...
A positive charge, +q, of mass m is moving at speed vo toward a second positive charge, +Q, when it is at an initial distance, R, away. The second charge, +Q, is assumed to be fixed in position. Also assume that any changes in gravitational potential energy are negligible. Derive an expression for the closest distance (call this r) charge +q gets to + before it changes position Enter your answer in terms of R, vo. Q. q, m and...