Consider the diagram below. Calculate the magnitude of the net electric force (in newtons) acting on q2 due to the charges q1 and q3. The following parameters are q1 = 1.4 uC, q2 = -3.0 uc, q3 = 4.1 uC, a = 0.08 cm, b = 0.11 cm. The angle alpha is 33º. NOTES: use k = 9x109 Nm2/c2. Final answer in ZERO decimal places. Use pi = 3.14. 91 α a +93 92

1 and 2

For the problem situation in Figure 1.4, where Q= 2x10C, determine: 1. The electric field strength at point B. 2. The direction of the electric field at point B. 3. The magnitude and direction of the electrostatic force exerted by the electric field on a charge q =-2x10-"C placed at point B.

Shown in the figure below is a collection of two charges labeled as q, and q2. Also labeled is the "Point P", which is where we will do our calculations. To understand the notation, please note the following: not to scale y 9₁ (0, V₂) Item Charge (C) P P (0, y₂) The vector E means the electric field at P due only to gr The vector E means the electric field at P due only to q The vector Er means the total electric field at P due to all charges (x,y) m (0.00,5.62) None q1 -7.41e-06 (0.00, -1.56) q2 4.28e-06 (2.56, 2.94) 9₂ (x₂, V₂) Determine the distance from q; to P: r₁= Determine the distance from q₂ to P: r₂-

A charge +QQ is located at the origin and a second charge, +8 QQ, is at distance dd on the xx-axis. 1.Where should a third charge, qq, be placed, so that all three charges will be in equilibrium? Express your answer numerically as a multiple of dd   2.What should be its sign, so that all three charges will be in equilibrium?   3.What should be its magnitude, so that all three charges will be in equilibrium? Express your answer numerically as a multiple of QQ

3. A positive charge of magnitude q, is shown at the right. Points B and C are a distance ro from the charge and point A is a distance 2r. from it. Let WAB represent the work done by an external agent in moving a small test charge from point A to point B. a. Use an arrow to indicate the direction of the electric field at points A, B, and C. X A X B X C qo b. Would the absolute value of the work done by an external agent in moving the same test charge from point B to point C be greater than, less than, or equal to WAB? Explain. c. Would the absolute value of the work done by an external agent in moving the same test charge from point A to point C be greater than, less than, or equal to WAB? Explain.

Q2. Here is a plot of the velocity vs. time for an car. Take a look at the plot and answer each of the following questions: 1. Describe the car's velocity vs. time. For example..."At the beginning of the plot the car was traveling at a velocity of ____ After seconds of constant velocity the car..." 2. What is the initial velocity of the car and how many seconds does the car travel at this velocity? 1. What distance does the car travel while at the initial velocity? 3. What is the final velocity of the car? 4. During what section of the plot (start & stop times) does the car accelerate? 1. How many seconds does the car accelerate? 2. What is the velocity before the acceleration (vi)? 3. What is the velocity after the acceleration (vf)? 4. Calculate the car's average acceleration over this period. 5. During what section of the plot (start & stop times) does the car decelerate? 1. How many seconds does the care decelerate? 2. What is the velocity before the deceleration (vi)? 3. What is…

A test charge of +3 µC is at a point P where an external electric field is directed to the right and has a magnitude of 4.0x106 N/C. The test charge is replaced with another test charge of -3 µC. The external electric field at P from the source chare will ________. (increase, decrease, remain the same.) How do you know this?