A charge q=4 10$^{-9}$ C is in the field generated by a charge Q=6 10$^{-8}S C. What is the work required to move q from a distance o f 3m to a distance of 0.5m from Q? Choose one or more alternatives: ☐ (a) 3.6 10^-7 J ☐ (b) 5.4 10^-7 J ☐ (c) 3.6 10^-6 J ☐ (d) 5.4 10^-6 J
Q: A particle (charge = 5.5 µC) is released from rest at a point x = 19.3 cm. If a 49.1-µC charge is…
A: ∆EK=Ui-Uf=kqQri-kqQrf=kqQ1ri-1rf=9×109 NC5.5×10-6 C49.1×10-6 C119.3×10-2 m-119.3+95.1×10-2 m=10.47 J
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- The charge q = 1.6 X 10-19 C, mass m = 1.7 X 102 kg, potential difference (voltage) = 1 gigavolt (10° V). If the particle starts from rest, calc. the final velocity of the particle. (in units of m/s). %3D %3D (a) 1.3 X 108 (b) 2.3 X 10 (c) 3.3 X 10% (d) 4.3 X 108Jwo metal spheres, each of radius 4.2 cm, have a center-to-center separation of 1.9 m. Sphere 1 has a charge of + 1.5 x 10 C; sphere 2 has a charge of - 3.4 x 10 C. Assume that the separation is large enough for us to assume that the charge on each sphere is uniformly distributed (the spheres do not affect each other). With V = 0 at infinity, calçulate in volts (a) the potential at the point halfway between their centers and the potential on the surface of (b) sphere 1 and (c) sphere 2. (a) Number i Units (b) Number i Units (c) Number i UnitsA 2.0 µC charge is placed in air. How much work needs to be done to carry a 0.05 µC of charge from a distance of 50 cm to 10 cm around the 2.0 µC charge? (Work W = qtest ∙∆V) Group of answer choices 7.2 kJ 7.2 mJ 0.072 J 7.2 J
- Charge q = 140 µC is distributed uniformly throughout.a spherical volume of radius R = 8.1 cm. Let V= 0 at infinity. What are (a) V at radial distancer= 2.2 cm and (b) the potential difference between points at r = R and r = 0 (VR-Vo)? %3D %3D %3D (a) Number Units (b) Number i UnitsA 5.70 x 10^-16 kg oil drop accelerates upward at a rate of 2.90 m/s^2 when placed between two horizontal, parallel plates that are 3.50 cm apart. If the potential difference between the plates is 7.92 x 10^2 V, what is the magnitude of the charge on the oil drop?A molecule of DNA (deoxyribonucleic acid) is 2.17μm long. The ends of the molecule become singly ionized: negative on one end, positive on the other. The helical molecule acts like a spring and compresses 1.00% upon becoming charged. Determine the effective spring constant of the molecule.
- A point charge q, = 5.28 x 106C is held fixed at the origin of a coordinate system. A second charge q2 = -3.96 x 106 C is initially at the coordinates (0.149, 0) m and is then moved to the coordinates (0.211, 0) m. What change in potential energy results from moving q2?Given two particles with Q = 2.80-μC charges as shown in the figure below and a particle with charge q = 1.27 x 10-18 C at the origin. (Note: Assume a reference level of potential V = 0 at r = ∞o.) 9 x = -0.800 m 0 x = 0.800 m x (a) What is the net force (in N) exerted by the two 2.80-μC charges on the charge q? (Enter the magnitude.) N (b) What is the electric field (in N/C) at the origin due to the two 2.80-μC particles? (Enter the magnitude.) N/C (c) What is the electrical potential (in kV) at the origin due to the two 2.80-μC particles? kv (d) What If? What would be the change in electric potential energy (in J) of the system if the charge q were moved a distance d = 0.400 m closer to either of the 2.80-μC particles? Jplease help with b)
- Two charges Q1 = 2, 3μC and Q₂ = 5, 1μC are placed on the two corners of a right triangle with the sides a = 7,5mm and b = 13, 8mm. How much work is required to bring a third charge Q3 = 6,6μC from infinity to point P that is a distance c away from the empty corner as shown in the figure below? Please take k = 9.0 × 10°N. m²/C2 and express your answer using one decimal place in units of J or N.m. Hint: if you use similar traingles c = a²+62 Q2 Yanıt: a C Q₁ bA particle of charge +1.8 µC is released from rest at the point x = 85 cm on an x axis. The particle begins to move due to the presence of a charge Q that remains fixed at the origin. What is the kinetic energy of the particle at the instant it has moved 15 cm if (a)Q = +38 µC and (b)Q = -38 µC? (a) Number Units (b) Number UnitsA point charge q1 = 4.69 x 10-6 C is held fixed at the origin of a coordinate system. A second charge q2 = -3.16 x 10-6 C is initially at the %3D coordinates (0.149, 0) m and is then moved to the coordinates (0.215, 0) m. What change in potential energy results from moving q2?