Two particles are fixed on an x axis. Particle 1 of charge 58.7  μC is located at x = -23.7 cm; particle 2 of charge Q is located at x = 20.7 cm. Particle 3 of charge magnitude 50.0  μC is released from rest on the y axis at y = 23.7 cm. What is the value of Q if the initial acceleration of particle 3 is in the positive direction of (a) the x axis and (b) the y axis?

Problem 10: Two point charges, Q₁ = Q₂ = +1.51 µC, are fixed symmetrically on the x axis at x = ±0.357 m. A point particle of charge. Q3 +3.18 μC, with mass m = 13.3 mg can move freely along the y axis. ▷ If the particle on the y axis is released from rest at y₁ 0.0211 m, what will be its speed, in meters per second, when it reaches y2 = 0.0624 m? Consider electric forces only. v = 0.66 m/s

Charged particles q1=−q1=− 4.00 nCnC and q2=+q2=+ 4.00 nCnC are separated by distance 3.90 mmmm , forming an electric dipole. Find the magnitude of the electric dipole moment. Express your answer in coulomb meters to three significant figures.

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).

A uniformly charged spherical shell has inner and outer radii of 24.0 cm and 32.0 cm, respectively. A point charge of −45.0 nC is located at the center of the spherical shell. A proton orbits around this arrangement just outside the spherical shell with a speed of 8.32 ✕ 105 m/s. What is the volume charge density of the spherical shell? (Include the sign of the value.)

Two red blood cells each have a mass of 9.05 × 10-14 kg and carry a negative charge spread uniformly over their surfaces. The repulsion arising from the excess charge prevents the cells from clumping together. One cell carries -3.00 pC and the other -2.60 pC, and each cell can be modeled as a sphere 3.75 × 10-º m in radius. If the red blood cells start very far apart and move directly toward each other with the same speed, what initial speed would each need so that they get close enough to just barely touch? Assume that there is no viscous drag from any of the surrounding liquid. initial speed: m/s What is the maximum acceleration of the cells as they move toward each other and just barely touch? maximum acceleration: m/s?

An infinitely long line of charge has linear charge density 5 x 10-12 C/m. A proton is at distance 13 cm from the line and moving directly toward the line at speed 0.5 × 103 m/s. How close (in cm) does the proton get to the line of charge?