Problem 2.32 Two positive point charges, q₁ and qв (masses m₁ and mB) are at rest, held together by a massless string of length a. Now the string is cut, and the particles fly off in opposite directions. How fast is each one going, when they are far apart?
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A: Given: q1=1.3 mC = 1.3*10-3 C q2=1.7 mC = 1.7*10-3 C q3 = 0 r12 = 3.7m r23=10m
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- A ▬ >E h d - As shown in the figure above, a positively charged ball is placed at point A and slides down the slope from rest. The area has a uniform electric field E = 12.9 N/C, pointing to the right. The mass of the ball is m = 9 kg and the charge is q = +2.6 C. When the ball reaches point B, it travels horizontally there after. The height from A to B is h = 37 m and the horizontal distance between A and B is d = 30 m. You can ignore friction and use g = 10 m/s for your calculation. %3D How much is the kinetic energy of the ball when it reaches at B (in the unit of J)? Submit Answer Tries 0/2 If the electric field ist changed to the opposite direction, How much is the kinetic energy of the ball when it reaches at B (in the unit of J) now? Submit Answer Tries 0/2 What is the minimum strength of electric field E that can be used to stop the particle right at Point B? N/CNewer automobiles have filters that remove fine particles from exhaust gases. This done by charging the particles and separating them with a strong electric field. Consider a positively charged particle + 1.5uC that enters an electric field with strength 4 x 10^6 N/C. The particle is traveling at 15 m/s and has a mass of 10^-9 g. What is the acceleration of the particle ? (Enter the magnitude only) 2.) what is the direction of the acceleration of the particle relative to the electric field?confused
- A positron has the charge and mass of an electron except that the charge is positive. A positron that is initially at rest at a distance of 2.0 nm away from a stationary carbon nucleus is then allowed to move freely. What will be the speed of the positron when it is infinitely far away from the carbon nucleus? Since the carbon nucleus is much more massive than the positron, it remains at rest. The mass and charge of a positron are m = 9.11 x 10-31 kg and e = 1.602 x 10-19 C, respectively, while the charge of a carbon nucleus is 6e. a. 3.0 x 106 m/s b. 2.4 x 106 m/s c. 1.8 x 106 m/s d. 3.6 x 106 m/s e. 1.2 x 106 m/sIn the ever popular game from the future, Electrodisc, players can score double points by pushing a disc into another disc with the electric field generated by a third disc. The discs are by regulation 1 kg. All discs have the same shape and are made of the same conducting material. In the figure below, disc 1 is held in place, and disc 2 is held stationary 4.1 m from disc 1 by a player. The player then releases disc 2. 10 m. F12 What is the initial magnitude of the acceleration imposed on the second disc? The charge on the first disc is 1.7 mC. The charge on the second disc is 1.7 mC. The charge on the third disc is neutral. m/s² Later, discs 2 and 3 touch and charge is exchanged. How much charge is exchanged once the charges on each disc reach an equilibrium? mC After charge is exchanged, what is the direction of the force on disc 3 due to disc 2? O toward the left O toward the right O upward O downwardNewer automobiles have filters that remove fine particles from exhaust gases. This is done by charging the particles and separating them with a strong electric field. Consider a positively charged particle +2.5 µC that enters an electric field with strength 2 x 106 N/C. The particle is traveling at 17 m/s and has a mass of 10-⁹ g. HROO E What is the acceleration of the particle? (Enter the magnitude only.) m/s² What is the direction of the acceleration of the particle relative to the electric field? O It is in the same direction as the electric field. O It is 90° to the left of the electric field. O It is 90° to the right of the electric field. O It is in the opposite direction of the electric field.
- A positively charged particle Q1 = +25 nC is held fixed at the origin. A second charge Q2 of mass m = 9.5 μg is floating a distance d = 45 cm above charge Q1. The net force on Q2 is equal to zero. You may assume this system is close to the surface of the Earth. Calculate the magnitude of Q2 in units of nanocoulombs.Two particles, one with charge −7.13 μC and one with charge, 4.39 μC, are 4.34 cm apart. What is the magnitude of the force that one particle exerts on the other? 149.56 Two new particles, which have an identical positive charge ?3,q3, are placed the same 4.34 cm apart, and the force between them is measured to be the same as that between the original particles. What is ?3?a) A charge 4Q is located at x = −2l on the x-axis, and a charge Q is located at x = l on the x-axis. Q > 0. Near the origin, a positive test charge q with mass m undergoes small oscillations along the x-axis. What is the frequency ω of these oscillations? (Remember that if F = ma = −kx, then ω2 = k/m).
- Four equal charges, q, are fixed at the corners of a square of side a in the xy-plane centered on the origin. A bead of mass m and charge -q is positioned at the origin. A thin, frictionless string along the z-axis threads the bead, thus restricting its mo- tion to the z-axis. The bead is then displaced from the origin by a small amount Zo < 0 and released from rest. Show that the bead undergoes simple harmonic motion (to a very good approximation), and derive an expression for its period of oscillation in terms of known parameters.A small metal sphere, carrying a net charge of q1=+2.80uc, is held in a stationary position by insulting supports. A second small metal sphere with a net charge of q2= -7.80uc and mass 1.50 g, is projected the word q1. When the two spheres are 0.800m apart, q2 is moving toward q1 with speed 22.0 m/s. Assume that the two spheres can be treated as point charges. You can ignore the force of gravity. (a) what is the speed of q2 when the spheres or 0.400 m apart? (b) how close does q2 get to q1?