Problem 18.02. Extra Credit. A spring attached to a wall on the left side has a con-ducting ball attached to the right end. The spring has a spring constant k, and a naturallength ro. If the conducting ball is charged with a charge q and a second conducting ballwith charge Q is placed a distance R from where the spring meets the wall, show that theequilibrium length of the spring eq has a cubic form ax³ + bx² + cx + d = 0 and write thecoefficients a, b, c, d.

Coulomb's Law: According to this law, the magnitude of the electric force acting between two charges…

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Two charges lie in a line along the x axis. Charge 1 is q1 = 1.1 C and charge 2 is q2 = 2.15 C. They are each a distance of d = 0.093 m from the origin. What is the distance on the x-axis from the origin at which the electric field will be zero. Give your answer in meters.
Three point charges are placed on the x-y plane: a +25.0 nC charge at the origin, a -25.0 nC charge on the x axis at 10.0 cm, and a +110 nC charge at the point (10.0 cm, 8.00 cm). Find the x component of the total electric force on the +110 nC charge due to the other two. (Express your answer to two significant figures.) Find the y component of the total electric force on the +110 nC charge due to the other two. (Express your answer to two significant figures.) Find the x component of the electric field at the location of the +110 nC charge due to the presence of the other two charges? (Express your answer to two significant figures.) Find the y component of the electric field at the location of the +110 nC charge due to the presence of the other two charges? (Express your answer to two significant figures.)
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
m A particle of charge q=2.5nC and mass m =16µg has an initial velocity of vo=47 directly toward an infinite line charge λ=161". The charge q is initially a distance ro = 82cm from the line charge. As the charge approaches the line it comes to a momentary stop. Determine the distance the charge is from the line when it comes to a stop (in cm).
A particle of mass 7.25 x 10-9 kg is moving 14.5 m/s in a field of 0.0393 T. It moves in a circle of radius 0.100 m. What is the charge of the particle? [?]x10?C
Consider the following. 60.0⁰ B 0.500 mm (a) Red blood cells often become charged and can be treated as point charges. Healthy red blood cells are negatively charged, but unhealthy cells (due to the presence of a bacteria, for example) can become positively charged. In the figure, three red blood cells are oriented such that they are located on the corners of an equilateral triangle. The red blood cell charges are A = 1.80 pC, B = 7.10 pC, and C= -4.30 pC. Given these charges, what would the magnitude and direction of the electric field be at cell A? (1 pC = 1 x 10-12 C.) magnitude N/C direction o counterclockwise from the +x-axis (b) If the charge of cell A were doubled, how would the electric field at cell A change? O The field would be unchanged. O The magnitude of the field would be doubled. O The magnitude of the field would be quadrupled. O The magnitude of the field would be halved.
Three charges are placed at the vertices of an equilateral triangle of side a= 0.85 m, as shown in the figure. Charges 1 and 3 are 8.2 μC charge 2 is -8.2 μC. Find the magnitude of the net force on charge 3 when it is at the origin. Express your answer using two significant figures.