Given vector A has a magnitude of 15 meters directed 27 degrees above the positive x-axis, and vector B has a magnitude of 22 meters directed 18 degrees above the positive x-axis, calculate A · B . A.
313.9 m^2

B.
325.9 m^2

C.
330.0 m^2

D.
294.0 m^2

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Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants