1) In the figure below, four particles form a square. The charges are q1 = q4 = Q and q2= q3 = q. (a) What is Q/q if the net electrostatic force on particles 1 and 4 is zero? (b) Is there any value of q that makes the net electrostatic force on each of the four particles zero? Explain.

Three charges are located on an x-y axis.  q1 has a value of 2.0 mC and is at (0, 3m).  q2 has a value of 3.0 mC  and is located at the origin.  q3 has a value of 4.0 mC and is located at (4 m, 0).  Find the magnitude and direction of the force on q1.  Don't forget to convert mC to C.   Draw a clear diagram!

A positively charged particle Q1 = +35 nC is held fixed at the origin. A second charge Q2 of mass m = 8.5 μg is floating a distance d = 35 cm above charge Q1. The net force on Q2 is equal to zero. You may assume this system is close to the surface of the Earth. Calculate the magnitude of Q2 in units of nanocoulombs.

Two objects collide head-on (see figure below). The first object is moving with an initial speed of  v1i = 7.94 m/s  and the second object is moving with an initial speed of  v2i = 10.00 m/s.  Assuming the collision is elastic,  m1 = 5.17 kg,  and  m2 = 6.29 kg,  determine the final velocity of each object. (Indicate the direction with the sign of your answer. Positive is to the right, and negative is to the left. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)

In the figure, the particles have charges q1 = -q2 = 550 nC and q3 = -q4 = 97 nC, and distance a = 6.2 cm. What are the (a) x and (b) y components of the net electrostatic force on particle 3?

B Q3 d₁ d₂ d3 d4 Three point charges Q₁ = -2.64 nC, Q2 = 3.24 nC and Q3 = 3.45 nC are shown in the figure. The distance in the figure are: d₁ = 1.10 cm, d₂ = 1.47 cm, d3 = 1.54 cm and d4 = 1.32 cm. The figure is not to scale. Use k=8.99 × 10⁹ Nm²/C². (a) If a proton is released from rest at point *B, how fast is it moving when it is very far away from the three charges? VC = (b) How fast would the proton need to be moving very far away from the three charges to reach *B with a speed of 9.78 x 105 m/s? VD= (c) If an electron is released from rest very far away from the three charges shown, how fast would it be moving at *B? VE = (d) How fast must an electron be moving at *B to come to rest very far away from the three charges? UF =

In the figure four particles form a square with edge length a = 3.02 × 10-2 m. The charges are q₁ = 94 = 2.37 × 10-15 ℃ and 92 = 93 = q. (a) What is q if the net electrostatic force on particle 1 is zero? (b) Is there any value of q that makes the net electrostatic force on each of the four particles zero? a a

Three charges, q₁ =-2.7 µC, q2 =5.4 μC and 93 =2 μC are placed on xy plane as shown in the picture below. 92 a 91 y b a a = 4.0 cm b = 2.0 cm r12 r13 = √√√a² + b² = 0.0447 m 93 X What is the x component of the net force exerted on charge q₁ by charges 92 and 93. Provide your answer in newtowns with the precision of two places after decimal.

In the figure four particles form a square with edge length a = x 10-15 C and q2 = q3 = q. (a) What is q if the net electrostatic force on particle 1 is zero? (b) Is there any value of q that makes the net electrostatic force on each of the four particles zero? 1.78 x 10-2 m. The charges are q1 = q4 = 3.23 a 3 4 a

Three point charges are located in free space along the x-axis. A positive charge of +2 uC is located at x = 0, a negative charge of -3 μC is located at x = 3 m, and a positive charge of +4 μC is located at x = 6 m. a. Will q1 and q2 attract or repel? Blank 1 b. Will q1 and q3 attract or repel? Blank 2 c. What is the direction of the electrostatic force acting on q1 due to q2? (north, south, east, or west) Blank 3 d. What is the direction of the electrostatic force acting on q1 due to q3? (north, south, east or west) Blank 4 For the following questions, convert your answer into PROPER SCIENTIFIC NOTATION and round the coefficient to two decimal places.(e.g. 5.43 x 10²: 5.43 is the coefficient) What is the magnitude of the electrostatic force on q1 due to q2? Blank 5 x10^Blank 6 N What is the magnitude of the electrostatic force on q1 due to q3? Blank 7x10^Blank 8 N Calculate the net electric force on the positive charge at x = 0 due to the other two charges: Blank 9 x 10^Blank 10 N