Chapter 23: Problem 3
If the universe is infinite, does it have a center? Discuss.
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These are the key concepts you need to understand to accurately answer the question.
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Chapter 23: Problem 3
If the universe is infinite, does it have a center? Discuss.
These are the key concepts you need to understand to accurately answer the question.
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Show that the velocity of a star orbiting its galaxy in a circular orbit is inversely proportional to the square root of its orbital radius, assuming the mass of the stars inside its orbit acts like a single mass at the center of the galaxy. You may use an equation from a previous chapter to support your conclusion, but you must justify its use and define all terms used.
At what angular velocity in rpm will the peak voltage of a generator be \(480 \mathrm{V},\) if its 500 -turn, \(8.00 \mathrm{cm}\) diameter coil rotates in a 0.250 T field?
The motor in a toy car is powered by four batteries in series, which produce a total emf of \(6.00 \mathrm{V}\). The motor draws \(3.00 \mathrm{A}\) and develops a 4.50 V back emf at normal speed. Each battery has a \(0.100 \Omega\) internal resistance. What is the resistance of the motor?
What capacitance do you need to produce a resonant frequency of \(1.00 \mathrm{GHz},\) when using an \(8.00 \mathrm{nH}\) inductor?
(a) Estimate the mass of the luminous matter in the known universe, given there are \(10^{11}\) galaxies, each containing \(10^{11}\) stars of average mass \(1.5\) times that of our Sun. (b) How many protons (the most abundant nuclide) are there in this mass? (c) Estimate the total number of particles in the observable universe by multiplying the answer to (b) by two, since there is an electron for each proton, and then by \(10^{9}\), since there are far more particles (such as photons and neutrinos) in space than in luminous matter.
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