Two identical point charges, with charge "+q", are fixed and separated by a distance "d". A third charge "-Q" of mass "m" can move freely and is at rest on the x-axis at the beginning in a distance of "X". How fast will the charge "-Q" move when it's at the middle of the charges "+q", if it's released from a distance x<
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- Suppose that a 3μC charge and a −2μC are fixed on the x-axis with 0.4 m of distance between them. Where could you place a 1μC charge so that, when released, it would not move?Charge Q1 = 23.41 mC is placed R = 37.15 cm to the left of %3D charge Q2 65.73 mC, as shown in the figure. Both charges are held stationary. Point A is located R3 11.15 cm to the right of Q1. A particle with a charge of q = -8.051 µC and a mass of A 16.31 g is placed at rest at a distance R2 = 33.44 cm above Q2. If the particle were to be released from rest, calculating its R exact path would be a challenging problem. However, it is possible to make some definite predictions about the future motion of the particle If the path of the particle were to pass through point A, what would be its speed va at that point? VA = m/sThree identical charges Q are at the corners of an equilateral triangle of side L. The charges are released one at a time, proceeding clockwise around the triangle. Each charge is allowed to reach its final speed a long distance from the square before the next charge is released. What is the final kinetic energy of (a) the first charge released (b) the second charge released (c) the third charge released
- Two fixed charges of magnitude q = +5μC each are located on the x-axis at x = 4 m and x = -4 m as shown in Figure. A charged particle of mass m = 100 g and charge Q = -1mC is placed on the y-axis at y = 3 m and is given an initial velocity vo = 25 m/s in the negative y-direction, see Figure. a) What is the velocity of the particle when it crosses the x-axis at point O? b) What is the velocity of the particle when it is very far away from the fixed charges at y = -00? ∞ 1 8 3m 4m Q 20 0 4mTwo particles, with identical positive charges and a separation of 2.00 x 10-2 m, are released from rest. Immediately after the release, particle 1 has an acceleration a1 whose magnitude is 6.85 x 10° m/s2, while particle 2 has an acceleration a2 whose magnitude is 8.50 x 10° m/s?. Particle 1 has a mass of 7.87 x 10-6 kg. Find (a) the charge on each particle and (b) the mass of particle 2.Two point charges Q1 = Q2 = +2.4 μC are fixed symmetrically on the x-axis at x = ±0.356 m. A point particle of charge Q3 = +3.7 μC and mass m = 12 mg can move freely along the y-axis. If the particle on the y-axis is released from rest at y1 = 0.016 m, what will be its speed, in meters per second, when it reaches y2 = 0.074 m? Consider electric forces only.
- Two point charges q1 and q2 are held in place 4.50 cm apart. Another point charge -1.95 μC of mass 5.50 gg is initially located 3.00 cm from each of these charges (the figure(Figure 1)) and released from rest. You observe that the initial acceleration of -1.95 μC is 314 m/s^2 upward, parallel to the line connecting the two point charges.A 28 x 10-6 C point charge is held at rest within a uniform electric field of 840.0 N/C directed in the +x direction. If the charge is released from rest, what will its speed be after moving 0.73 m in the +x direction. Assume only the electric field force acts and that the mass of the charge is 3.00 x 10-7 kg.What amount of energy does it take to assemble a charge configuration consisting of 3 points charges all with a charge of q=6.75 *10^-6 C that are to be arranged into a straight line seperated consecutively by x=0.163 meters?
- A small, charged particle of mass 4.30 x 10-8g and charge +1.92 x 10-13C is sent toward a large fixed, flat sheet (0.50m x 0.50m) of metal that has a net charge of 1.33 x 10-6C. If the particle is moving with a speed of 18m/s when it is 8.00cm away from the sheet, does the particle strike the sheet? If so, what is the particle’s speed just before hitting the sheet? If the particle does not strike the sheet, what is its closest distance to the sheet?Two negative charges, each with a charge of -7.7 nC, are at fixed locations as shown below. A proton is launched from the midpoint of the line joining the charges in a direction perpendicular to the line joining the charges. Find the minimum initial velocity of the proton that will allow it to escape to infinity. Ignore gravitational or any other influences on the proton. (k=1/480 = 8.99 × 109 Nm²/C2, e = 1.60 × 10-19 C, mproton = 1.67× 10-27 kg). [Hint: Conservation of energy might be helpful and you can assume that the proton is at rest at infinity] 5.0 mm 5.0 mm V 8.9 × 106 m/s 1.8 × 107 m/s None of these 4.6 × 106 m/s 2.3 × 106 m/sCharge Q1 = 25.91 mC is placed R = 34.65 cm to the left of charge Q2 = 82.23 mC, as shown in the figure. Both charges are held stationary. Point A is located R3 = 10.40 cm to the right of Q1. R, A particle with a charge of q = -4.551 µC and a mass of A 34.81 g is placed at rest at a distance R2 = 31.19 cm above Q2. If the particle were to be released from rest, calculating -R,一 its exact path would be a challenging problem. However, it is -R- possible to make some definite predictions about the future motion of the particle If the path of the particle were to pass through point A, what would be its speed VA at that point? VA = m/s