3. The disk of radius R meters carries a charge with the electrostatic poten tial V volts. A particle of charge q coulombs lies on the axis of the disk at a distance y meters from the disk. It can be shown that the repulsive force F (in newtons) acting on the particle is т, q Vq y F = 1- R R² + y², If a particle starts from the center of the plate with zero velocity, determine its speed at y = R. Neglect the effect of gravity.
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- A particle of charge 7.5 mC is released from rest at the point x 60 cm on an x axis.The particle begins to move due to the pres- ence of a charge Q that remains fixed at the origin. What is the ki- netic energy of the particle at the instant it has moved 50 cm if (a) Q 20 mC and (b) Q 20 mC?A positive point charge q1= +4.00 x10^-4 C is held fixed at the origin. A small object with negative charge q2= -5.00 x10^-5 C is released from rest at a point on the x axis a distance of 0.500 m from q1 and it moves towards q1. What is the kinetic energy of the object when it is .300 m from q1?X Which quantity of excess electric charge could be found on an object? 6.25x10A-19 C O 4.80X10^-19 C 6.25 elementary chaarges O 1.60 elementary charges -O Other:
- E7P10A charged box (m = 475 g. q +2.50 uC) is placed on a frictionless incline plane. Another charged box (Q = +75.0 µC) is fixed in place at the bottom of the incline. If the inclined plane makes an angle 0 of 35.0 with the horizontal, what is the magnitude of the acceleration of the box when it is 59.0 cm from the bottom of the incline? acceleration: m/s What is the direction of the acceleration of the box? up the ramp down the ramp neitherTwo point charges are fixed 4.0 cm apart from each other. Their charges are Q1 = Q2 = 6.5 µC, and their masses are m, = 1.5 mg and m, = 2.5 mg. (a) If Qj is released from rest, what will be its speed after a very long time? (b) If both charges are released from rest at the same time, what will be the speed of Q1 after a very long time?
- ΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔΔ $6.4 mc 0.25m + tab +1.2 MC ! 1 45° Q 2 W 3 Charges are placed on the corners of a right triangle. 45-45-90 0.35m #3 450 a E S4 % L 5 triangle Precise infinitely MacBook Pro 16.0 mc & 23 0.25m what is the instantaneous electrostatic force on the -6.0 mC charge? include a magnitude and direction (an angle)= Two charged particles, 9₁ and 92, are located on the x-axis, with q₁ at the origin and q2 initially at X₁ 13.3 mm. In this configuration, q₁ exerts a repulsive force of 2.62 µN on 92. Particle 92 is then moved to X2 17.0 mm. What is the force (magnitude and direction) that q₂ exerts on q₁ at this new location? (Give the magnitude in µN.) magnitude μN direction ---Select--- ↑In the early 1900s, scientists modelled the hydrogen atom as an electron orbiting a proton. Like when we look at the Earth and Sun, we can consider the proton to be stationary, and the electron to be in orbit around the proton in a perfect circle. Unlike the Earth and Sun, the force responsible for the circular motion of the electron is the attractive electric force between the proton and electron. All other forces can be ignored. Experiments showed that the electron's orbital radius was 5.29x10^-11m. a) Calculate the speed of the electron in its orbit. b) Show that the circumference of the electron's orbit (2 times pi times radius) is about equal to the electron's De Broglie wavelength at that speed. Electron: mass = 9.11x10^-31kg, charge = -1.60x10^-19C. Proton: mass = 1.67x10^-27kg, charge = +1.60x10^-19C. Coulomb's constant: k = 9.00x10^9 Nm^2/C^2 Planck's constant: h = 6.63x10^-34 Js
- Two stationary positive point charges, charge 1 of magnitude 3.20 nCnC and charge 2 of magnitude 1.60 nCnC , are separated by a distance of 37.0 cmcm . An electron is released from rest at the point midway between the two charges, and it moves along the line connecting the two charges. What is the speed vfinalvfinalv_final of the electron when it is 10.0 cmcm from charge 1? Express your answer in meters per second.A charged particle A exerts a force of 2.40 ?N to the right on charged particle B when the particles are 12.4 mm apart. Particle B moves straight away from A to make the distance between them 16.2 mm. What vector force does particle B then exert on A? ?N to the leftThree identical particles have the same mass m and the same positive charge Q. They are initially at rest at the corners of an equilateral triangle with side a when one is released while the other charges are held fixed. What is the speed of the moving charge when it is a large distance from the others?