7. Find the (a) divergence and (b) curl of A = exy ax + sin(xy) ay + cos²(xz)az.
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7. Find the (a) divergence and (b) curl of A=
exy ax + sin(xy) ay + cos²(xz) az.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29c8cf49-5423-4f4c-a559-4f2bc9841eaf%2F9a83c1ee-ecfb-45c3-8676-b397877bd0d7%2F3a4sjh6_processed.jpeg&w=3840&q=75)
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- Part A The space shuttle releases a satellite into a circular orbit 560 km above the Earth. How fast must the shuttle be moving (relative to Earth) when the release occurs? Express your answer using three significant figures and include the appropriate units. HA m 7.91 • 10³ V = S 9 Review your calculations and make sure you round to 3 significant figures in the last step. No credit lost. Try again. Submit Previous Answers Request Answer Provide FeedbackII Review I Constants Electromagnetic radiation (known as Cherenkov radiation) is emitted when a charged particle moves through a medium faster then the local speed of light. It should be stressed that the particle is never going faster then the speed of light in vacuum (or c), just faster than the speed of light in the material (which is always less than c). When a charged particle passes straight through a medium faster than the local speed of light, it will emit Cherenkov radiation in a cone. Let's see how the cone angle is correlated to the speed of the particle. Part A If a particle is traveling straight through a material with index of refraction n at a speed v, what is the angle 0 between the vector of the propagating Cherenkov radiation and the vector in the direction of the propagating particle? Express your answer in terms of v, c, and n. • View Available Hint(s) ? Submit Request AnswerSpecial relativity lorentz Due to the rotation of the earth the speed of a point in the equator is 460 m/s with respect to a point in the north pole. According to the effect of time dilation in relativity, why do the clock rhythms differ if one is in the equator and the other at the north pole? after a year, for how many seconds do the clocks differ?
- 316. What is wrong with the following "proof" that there are no magnetic fields? By electromagnetic theory, V. B = 0, and B = V x A. (The error is not in these equations.) Using them, we find [[[ V.B dra = 0= ¹= // B. B.ndo X A (V x A) ndo = - [A.dr (by the divergence theorem) = Since f A. dr = 0, A is conservative, or A = V. Then B = VxA=V x V = 0, so B = 0. A dr (by Stokes' theorem).Which of the vector fields above are produced by a charged particle at rest? a) electrical b) magnetic c) gravitational (can be more than one)