A point charge q₁ = -5 µC located at (x = 0, y = 0.4 m, z = 0) is moving with speed 9 × 104 m/s. The charge q₁ is moving in the xy-plane, and its velocity ₁ makes a 45° angle with the y-axis as shown below. Another point charge q2 = 8 μC is located at (x = 0, y = 0, z = 0.3 m) and is moving with velocity 6.5 x 10-4 m/s in the +z-direction. Z 72

Problem 9: A proton is shot straight at a fixed, stationary point charge, Q. At its initial distance of 12cm from Q, the proton has a speed of 2.8 x 10°m/s; when it reaches a distance of 2.5cm from Q the proton's speed is 1.5 x 10°m/s. The proton's mass is 1.673 × 10-2"kg and its charge is 1.602 × 10-19C. What is Q? (A) +102.6 × 10-9 C (В) —102.6 х 10-9 С (C) +67.2 × 10-9 C (D) —67.2 х 10-9 С (E) –205.1 × 10-9 C

In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha particles (having charges of +2e and masses of 6.64 x 10-27 kg) were fired toward a gold nucleus with charge +79e. An alpha particle, initially very far from the gold nucleus, is fired at 2.76 x 107 m/s directly toward the nucleus, as in the figure below. How close does the alpha particle get to the gold nucleus before turning around? Assume the gold nucleus remains stationary. 79e m v=0

Sara is preparing for her birthday party. She rubs three balloons with her wool scarf, then hangs them from the gate with string, as shown in the figure. The balloons repel, and she notices that from directly below, each balloon is at a vertex of a horizontal, equilateral triangle with sides equal to S = 32.7 cm. Each balloon has equal mass of m= 1.84 g and carries equal charge. You can model each balloon as a particle, with its center L = 49.5 cm from the point of support. What is the charge (in µC) on one balloon? 0.395 (i)

The electric field between two parallel plates is uniform, with magnitude 704 N/C. A proton is held stationary at the positive plate, and an electron is held stationary at the negative plate. The plate separation is 4.06 cm. At the same moment, both particles are released. Question: Calculate the distance (in cm) from the positive plate at which the two pass each other. Ignore the electrical attraction between the proton and electron.

Positive point charges g = 9.00 µC and q' = 2.00 µC are moving relative to an observer at point P, as shown in the figure (Figure 1). The distance d is 0.130 m. v = 4.60x10° m/s. and = 9.20x10° m/s.

Two metal spheres, each of radius 4.2 cm, have a center-to-center separation of 1.9 m. Sphere 1 has a charge of + 1.5 x 10° C; sphere 2 has a charge of - 3.4 x 108 C. Assume that the separation is large enough for us to assume that the charge on each sphere is uniformly distributed (the spheres do not affect each other). With V= 0 at infinity, calculate in volts (a) the potential at the point halfway between their centers and the potential on the surface of (b) sphere 1 and (c) sphere 2. (a) Number i Units (b) Number i Units (c) Number i Units

Three charges, q1 = 1 µC, q2 = 2 µC and q3 = 3 µC are placed in a line with 20 cm between %3D each of them. So qat a = 0, q2 at z = 20 cm and q3 at z = 40 cm. Calculate the energy stored in the collection of charges. (a) -0.62 J (b) -0.43 J (c) +0.43 J (d) +0.62 J

Charge Q = 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 %3D 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 its exact path would be a challenging problem. However, it is possible to make some definite predictions about the future motion of the particle -R,- R- If the path of the particle were to pass through point A, what would be its speed VA at that point? VA = m/s

A 70.0-g block carrying a charge Q = 31.0 µC is connected to a spring for which k = 72.0 N / m. The block lies on a horizontal frictionless surface and is immersed in a uniform electric field of magnitude E = 4.64 ✕ 104 N / C directed as shown in the following figure. The block is released from rest when the spring is not stretched (x = 0). (a) By what maximum distance (in cm) does the block move from its initial position? (b) Determine (in cm) the rear equilibrium position of the block and the range of its motion. (Indicate the address with the sign of your answer.) (c) Using conservation of energy, find a symbolic relationship that gives the potential difference between your initial position and the point of maximum extension in terms of the spring constant k, the amplitude A, and the charge Q.