A point charge q1=5.00μC is held fixed in space. From a horizontal distance of 8.00 cmcm, a small sphere with mass 4.00×10^−3 kg and charge q2=+2.00μC is fired toward the fixed charge with an initial speed of 45.0 m/sm/s. Gravity can be neglected. What is the acceleration of the sphere at the instant when its speed is 22.0 m/sm/s?

The figure below shows a small, hollow, rubber ball hanging vertically from a thin, lightweight thread. The ball has a mass of 7.10 g and a uniformly distributed charge of q1 = 30.4 nC. Directly below it is a second ball with the same mass, but a charge of q2 = −58.0 nC. (Assume this second ball is fixed in place.) The centers of the two rubber balls are a distance d = 2.00 cm apart. (a) What is the tension (in N) in the thread? (b) The thread will break if the tension in it exceeds 0.180 N. What is the smallest possible value of d (in cm) before the thread breaks?

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Problem 22.01. Two charges move on opposite direction. Charge Q₁ 5.00 μC moves in the k direction with a velocity 4.70 × 105 m/s and charge Q2 1.25 μC moves in the - direction with a velocity 2.35 × 105 m/s. At the time that these particles cross the y-axis, charge Q₁ is a distance 4.00 cm from the origin in the + direction and charge Q2 is a distance 2.00 cm form the origin in the −ĵ direction. (a) Find the magnetic field at the origin. (b) Find the electric field at the origin. (c) Find the Lorentz force felt by a test charge q = 1.00 nC placed at the origin in this instant. =

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.

From a distance of 10 cm, a proton is projected with a speed of v = 4.0 × 106 m/s directly at a large, positively charged plate whose charge density is o = 3.5 x 10-5 C/m². (See below.) -10 cm- 4.0 X 106 m/s (a) Does the proton reach the plate? O Yes No ++ ++ ++ ++ ++ ++ ++ ++ (b) If not, how far from the plate (in cm) does it turn around? (If the proton does reach the plate, enter zero.) X cm

A point charge q1 = +5.00 μCoul is held in fixed space. From a horizontal distance of 6.00 cm, a small sphere with mass 4.00*10^-3 kg and charge q2 = +2.00 μCoul is fired toward the fixed charge with an initial speed of 50.0 m/s. Gravity can be neglected. What is the distance between the two charges when the speed of the moving charge q2 is 20.0 m/s?

A charge of Q₁ = -3.0 μC is fixed in place. From a horizontal distance of S = 0.045m a particle of mass m = 7.2x10-³ kg and charge Q₂ = -8.0 μC is fired with an initial speed of Vo = 65 m/s directly towards the fixed charge Q1. What is the minimum distance between Q₁ and Q₂ before Q₁ flips its direction of motion?

A point charge q₁ = 5.00 μC is held fixed in space. From a horizontal distance of 6.00 cm, a small sphere with mass 4.00 x 10 kg and charge q2 = +2.00 μC is fired toward the fixed charge with an initial speed of 44.0 m/s. Gravity can be neglected.

Three identical particles have the same mass m and positive charge Q. They are initial at rest in the corners of an equalateral triangle with sides a. One particle is released, What is the speed of the moving charge when it is a large (aka infinity) distance from the other two?