We can use equilibrium to measure forces exerted by charges, magnets, or gravity by measuring the deflection that these forces cause between two hanging spheres as shown in the figure. The like charges on the spheres causes them to move away from each other. If the weight of the sphere is W 106 [N], and the geometry is given by w 6.91 [cm], 196.6 [cm], and r = 0.889 [m], answer the following: What is the electrostatic force, F, repelling the two spheres? [N]
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- Two electrons in a vacuum exert force of F = 4.63E-08 N on each other. They are then moved so that they are separated by x = 6.4 times their original distance. a. What is the force, in newtons, that the electrons experience at the new separation distance? b. How far apart, in meters, were the electrons originally?Consider the electrostatic force between two particles of equal mass m = 25.6 × 10-26 kg and carrying different charges q1 = 14e and q2 = 28e, where e denotes the magnitude of the charge on an electron. At what distance, in meters, is the electrostatic force between these two particles equal to the weight of one of them?and F represents gravitational and electrostatic force respectively between electrons situated at a distance 10 cm. The ratio of F/F is of the order of e (a) 1042 (c) 1024 (b) 10-²1 F g (d) 10-43 KAL
- Two charged particles, each of mass m and charge q, are initially very far apart, and moving directly towards each other, each with initial speed v. Ignoring any forces other than the electric force between them, how close do they get to each other before turning around? Give your answer in terms of q,m,v, and ɛ0.Two charges (Q1=4.9x10-9C and Q2=-6x10-8C) are separated by 0.05m. What is the electrical force between them?A uranium ion and an iron ion are separated by a distance of ?=57.10 nm, as shown in the figure. The uranium atom is singly ionized; the iron atom is doubly ionized. Calculate the distance ? from the uranium atom at which an electron will be in equilibrium. Ignore the gravitational attraction between the particles. ?= What is the magnitude ?U of the force on the electron from the uranium ion?
- An asteroid of mass 58,000 kg carrying a negative charge of 15.0uC is 180m from a second asteroid of mass 52,000 kg carrying a negative charge of 11.0 uC. What is the net force the asteroids exert upon each other? Let G = 6.673 x 10^-11 N•m^2/kg^2 and k=9.0 x 10^9 N•m^2/C^2The electric force between two charges, 4.1*10^-6C and 7.9*10^-6C, has a magnitude of 0.12N. What is the separation(r) between the charges?Solve the following problems completely and neatly. Write your solution in a clean sheet of paper. A +80µC charge is placed at the origin. A -35µC is placed at x = 2m and a +170µC is placed at x= -4m. (a) what is the net electric force acting on the +80µC charge? (b) what is the net electric force acting on the +170µC charge?