When charges qa, qb, and qc are placed respectively at the corners a, b, and c of a right triangle, the potential at the midpoint of the hypotenuse is 20 V. When the charge qa is removed, the potential at the midpoint becomes 15 V. When, instead, the charge qb is removed (qa and qc both in place), the potential at the midpoint becomes 13 V. What is the potential at the midpoint if both charges qa
and qc are removed?
a. 13 V
c. 5 V
b. 7 V
d. 8 V
B
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Potential of Point-Charges: The potential (relative to infinity) at the midpoint of a square is 3.0 V when a point charge of +Q is located at one of the corners of the square. What is the potential (relative to infinity) at the center when each of the other corners is also contains a point charge of +Q?
A. 0 V B. 3.0 V C. 9.0 V D. 12 V
A supermassive black hole erupts when ____
a. it collides with a neutron star b. magnetic fields form tubes to channel the jets c. the accretion disk tilts to a new angle d. a sudden flood of matter flows inward producingan accretion disk e. starburst events irradiate the accretion disk with new energy
Each 2.0-m length of a long cylinder (radius = 4.0 mm) has a charge of 4.0 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point 5.0 mm from the axis of the cylinder?
a. 9.9 kN/C b. 8.1 kN/C c. 9.0 kN/C d. 7.2 kN/C e. 18 kN/C
Applying the Newton's version of Kepler's third law (or the orbital velocity law) to a star orbiting 40,000 light-years from the center of the Milky Way Galaxy allows us to determine
A) the total mass of the entire Milky Way Galaxy. B) the mass of the black hole thought to reside in the center of the galaxy. C) the percentage of the galaxy's mass that is made of dark matter. D) the mass of the Milky Way Galaxy that lies within 40,000 light-years of the galactic center.