Two protons in a molecule are 3.80 x 10-10 m apart. Find the magnitude of the electric force exerted by one proton on the other.
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- Two tiny conducting spheres are identical and carry charges of -29.8 µC and +63.7 µC. They are separated by a distance of 3.57 cm. (a) What is the magnitude of the force that each sphere experiences? (b) The spheres are brought into contact and then separated to a distance of 3.57 cm. Determine the magnitude of the force that each sphere now experiences. (a) Number (b) Number I Units Units >Review Conceptual Example 11 before attempting to work this problem. Four charges with equal magnitudes of 9.88 × 10-¹2 Care placed at the corners of a rectangle. The lengths of the sides of the rectangles are 3.20 cm and 4.56 cm. Find the magnitude of the electric field at the center of the rectangle in Figures a and b. (a) Number i (b) Number i +9 +9 1 (a) Units Units 2, E24 3 +9 E13 E C (b) E24 +qTwo tiny conducting spheres are identical and carry charges of -19.5 μC and +41.5 μC. They are separated by a distance of 3.51 cm. (a) What is the magnitude of the force that each sphere experiences? (b) The spheres are brought into contact and then separated to a distance of 3.51 cm. Determine the magnitude of the force that each sphere now experiences. (a) Number i 5940000000000000 Units N (b) Number i 8810000000000 Units N
- Two charges, each 6 µC, are on the x axis, one at the origin and the other at x = 8 m. Find the electric field on the x axis at each of the following locations. x = -2 m x = 2 m x = 6 m x = 10 m At what point on the x axis is the electric field zero?A proton is projected in the positive x direction into a region of uniform electric field E = (-6.20 × 105) ↑ N/C at t = 0. The proton travels 7.90 cm as it comes to rest. (a) Determine the acceleration of the proton. m/s² magnitude direction -X (b) Determine the initial speed of the proton. m/s magnitude direction +X ✓ ✓ (c) Determine the time interval over which the proton comes to rest.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 proton is projected in the positive x direction into a region of uniform electric field E = (-6.10 x 105) î N/C at t = 0. The proton travels 6.90 cm as it comes to rest. (a) Determine the acceleration of the proton. magnitude m/s2 direction -x (b) Determine the initial speed of the proton. magnitude m/s direction +x (c) Determine the time interval over which the proton comes to rest.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.