packet PAP 09

# A calculate the force between them 100 n b is the

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a. Calculate the force between them. [10.0 N] b. Is the force attractive or repulsive? [repulsive] 20. A 2.2 C charge is located on the x -axis at x = -1.5 m. A 5.4 C charge is located on the x -axis at x = 2.0m. A 3.5 C charge is at the origin. Find the net force acting on the 3.5 C charge. 21. Three charged particles each having a charge of -4.0 x 10 -6 C, form an equilateral triangle with 0.01 m sides. a. What is the magnitude of the net force on each particle? [2490 N] b. In what directions will these three forces act? [outward relative to orientation] 22. Three point charges of 8 C, 3 C, and -5 C, are locate at the top, bottom left, and bottom right corners respectively of an equilateral triangle of side 1 Å . Find the magnitude and direction of the net force on the 3 C charge. 23. Two electric charges originally 8cm apart are brought closer together until the force between them is greater by a factor of 16. How far are they apart now? [2cm] 24. Two charges are observed to repel one another with a force of 0.1N when they are 5 cm apart. What will the force be when they are: a. 10 cm apart? b. 50 cm apart? c. 1 cm apart? 25. Two very tiny metal spheres, one with a charge of 2 x 10 -5 C and the other with a charge of -1 x 10 -5 C are 10 cm apart. a. What is the force between them? [-180 N] b. If they are allowed to make contact with one another and separate again to I0 cm, what is the force between them now? [22.5 N] 26. What is the magnitude and direction of the electric field needed to balance the gravitational weight of a. an electron? [5.6 X10 -11 N/C down] b. a proton? [1.02 X 10 -7 N/C down] c. a neutron? [not possible] . 27. The electric force on a 5 C charge is 3.8 x 10 -3 N in the positive x direction. What is the value of the electric field at that point? [+760 N/C i ] 28. A point charge of -2.8 C is located at the origin. Find the electric field at a. x = 2 m b. y = -3 m c. x = 1 m, y = 1 m 29. What is the value of the electric field at a point midway between a -2.5 C and a 6 C charge separated by 1.0m? [3.06 x 10 11 N/C towards the negative charge] 30. How many electrons make up a charge of -1 C? 31. What is the total charge on 1 kg of electrons? [-1.76 x 10 11 C] 32. A certain raindrop picks up 30 electrons in its fall through the air. a. What is its charge? b. How much has its mass increased? 33. What is the magnitude and direction of the force a +10 C charge exerts on a +3 mC charge 2 m away? [67.5 N away from the other charge] 34. Two charged bodies exert a 420 mN force on one another. What will be the force if the bodies are moved one third the distance apart? 35. How far apart must two electrons be if the force between them is to be 10 -12 N? [1.5 x 10 -8 m] 36. What is the magnitude of the force between an iron nucleus (26 protons) and its inner-most electron if the distance is 10 -2 Å ? 37. A force of 2.4 N is exerted on a -1.8 C charge in a downward direction. What is the magnitude and direction of the electric field at this point? [1.3 x 10 6 N/C up] 38. An electron in an electric field experiences an eastward 8x10 -16 N force. What is the magnitude and direction of the electric field?

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