A charged cloud system produces an electric field in the air near Earth's surface. A particle of charge -2.3 × 10-9 C is acted on by a downward electrostatic force of 3.2 × 10-6 N when placed in this field. (a) What is the magnitude of the electric field? (b) What is the magnitude of the electrostatic force on a proton placed in this field? (c) What is the gravitational force on the proton? (d) What is the ratio of the electrostatic force to the gravitational force in this case?

A particle (mass =67x 10 kg charge = +3.2 x 10" C) moves along the positive x axis with a speed of 4.8x 10 m/s. It enters a region of uniform electric field parallel to its motion and comes to rest after moving 20 m into the field. What is the magnitude of the electric field?

Four identical charged particles (g = +10.1 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 64.2 cm and W = 14.6 cm. L (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. (b) Calculate the direction of the total electric force exerted on the charge at the lower left corner by the other three charges. ° (counterclockwise from the +x-axis)

Two charged particles are a distance of 1.72 m from each other. One of the particles has a charge of 7.03 nC, and the other has a charge of 3.86 nC. (a) What is the magnitude (in N) of the electric force that one particle exerts on the other?   (b) Is the force attractive or repulsive?

Two charged particles are a distance of 1.82 m from each other. One of the particles has a charge of 6.75 nC, and the other has a charge of 4.30 nC.   (a) What is the magnitude (in N) of the electric force that one particle exerts on the other?     (b) Is the force attractive or repulsive?

A-6 C, 4 kg charge has an acceleration of +3 m/s2 in the positive x-direction. What is the electric field that would cause this acceleration? Positive and negative answers indicate directions in the positive and negative x-directions, respectively. O +1 N/C O -1 N/C O-3 N/C O +2 N/C O-2 N/C

A proton is initially at rest. After some time, a uniform electric field is turned on and the proton accelerates. The magnitude of the electric field is 1.81  105 N/C. (a) What is the speed of the proton after it has traveled 7.00 cm? (b) What is the speed of the proton after it has traveled 70.0 cm?

(a) Two protons in a molecule are 4.40 × 10 -10 m apart. Find the electric force exerted by one proton on the other. magnitude What is the equation for the electrical force acting between two charged objects? N direction repulsive (b) State how the magnitude of this force compares with the magnitude of the gravitational force exerted by one proton on the other. Fe %D F. What is the mass of a proton? (c) What must be a particle's charge-to-mass ratio if the magnitude of the gravitational force between two of these particles is equal to the magnitude of electric force between them? С/kg

Calculate the strength and direction of the electric field, E, due to point charge of 2.7 nC at a distance 5.6 mm from the charge. For the direction, consider the line joining the point charge and point at the distance 2.4mm. The direction on this line away from the charge is positive and the direction towards the charge is negative. What force does the electric field found in the previous example exert on a point charge of −2.3·10^-8 C?

Spheres A and B have the same initial positive charge. The magnitude of the repulsive electric force between the two spheres is 144 N when separated by a distance of 0.03 m. (a) Find the initial charge . (b) The spheres are then allowed to touch each other and then separated. Find the electric force between them if the radius of sphere A is three times that of sphere B. What is the magnitude and direction of the electric field at 0.25 m from a ? Find the flux through the top, left, and right sides of a cube of side 0.5 m when placed in a horizontal uniform electric field of 8.0 N/C directed to the right.