Consider the following figure. (The four charges are at the corners of a square. Take q = 1.03 µC and Q = 2.23 µC.) (b) What is the resultant force on the center of mass of the four charges
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Consider the following figure. (The four charges are at the corners of a square. Take q = 1.03 µC and Q = 2.23 µC.)
(b) What is the resultant force on the center of mass of the four charges?
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- Consider the following figure. (The four charges are at the corners of a square. Take q = 1.08 µC and Q = 1.83 µC.) (a) In the figure, what are the magnitude and direction of the resultant force on q1? (Take q1 as the origin of the coordinate system and measure the angle counterclockwise from the positive x-axis, which is directed towards the right.) magnitude direction ° (b) What is the resultant force on the center of mass of the four charges?Four identical charged particles (q = +10.4 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 61.2 cm and W = 15.7 cm. (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. N(b) Calculate the direction of the total electric force exerted on the charge at the lower left corner by the other three charges. ° (counterclockwise from the +x-axis)can you please answer (a) & (b)?
- Two positively-charged balls with equal amounts of charge and mass m = 3.5 g are suspended from the ceiling by a thread of length L = 1.1 m as shown in the drawing. a)Consider the forces acting on the ball shown on the right in the drawing. Which one of the following choices best represents the free-body diagram for this situation? b)Enter an expression for the sum of the forces in the horizontal direction acting on the ball on the right in the drawing in terms of the magnitude of the tension T, the magnitude of the electric force FE, and the angle θ. c)Enter an expression for the sum of the forces in the vertical direction acting on the ball on the right in the drawing.Your answer is partially correct. The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.13 µC, x1 = 4.35 cm, Y1 = 0.304 cm and 92 = -5.93 µC, x2 = -2.30 cm, y2 = 1.07 cm. Find the (a) magnitude and (b) direction (with respect to +x-axis in the range (-180°;180°]) of the electrostatic force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of charge q3 = 6.16 µC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (a) Number 25.3 Units N (b) Number i 173.44 Units ° (degrees) (c) Number -3.6 Units m Number i 0.42 Units mTwo 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.
- Three point charges with q = 7.5 μC are located as shown. If L = 15 cm, determine the magnitude anddirection of the total electric force acting on the point charge located at (0,−L).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?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/s
- A charge q1 of 44 µC is placed at the origin of the xy-coordinate system and a charge q2 of -72 µC is placed on the positive x-axis at x = 20 m. Calculate the magnitude of the net electric force being experienced by another charge q3 = 3 mC at point (20 m, 25 m) in N.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?