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This Cannot be hand-drawn, this physics solution must be typed out, and the explanation in the simplest manner.
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- Solve this integrationTheorists have had spectacular success in predicting previously unknown particles. Considering past theoretical triumphs, why should we bother to perform experiments?In Exercise 12.4 of your book, University Physics 15th edition (see End of the Chapter 12 section), what is the answer for sub-item (b) if the radius of the neutron star is 12.504 km? (express your answer in the proper Sl unit and without scientific notation)
- A particle of mass moves in 1 dimensional space with the following potential energy: (in figure) where U0 and alpha are positive, 1) What is the minimum velocity a particle must have to go from the origin to infinity? 2) What is the angular frequency w of the oscillations around the stable equilibrium point?(a) Explain in your own words and in a concise way (no more than a short paragraph) what gravitational waves are. (b) Show that the non-vanishing components of the quadrupole moment tensor I" for four particles of masses m₁ located at the points (a,0,0) and (-a, 0, 0), and masses m₂ located at (0, a, 0) and (0, -a, 0) respectively are given by: 1=2m₁ a², 1=2m² a². (c) Compute the components of the quadrupole moment tensor in frame in which the particles are rotating about the z axis on circle of radius a and angular velocity w by considering the following coordinate transformation: x'x cos(wt) - y sin(wt) yx sin(wt) + y cos(wt) (d) Use the quadrupole formula 2=2. to compute the power radiated in gravitational waves by the rotating masses. (Hint: recall that (cos² (wt)) = (sin²(wt)) = ½)Problem 3: (a) Consider an object of constant mass m acted on by a three-force F. According to special relativity, yma + (F. v)v/c2. Hint: Compute E to notice that it appears in dP, and show that prove that F dE dt F.v. (b) In a hot star, a multiply-ionized, hydrogen-like atom with a single remaining electron produces a series of spectral lines as described by the Bohr model. The series corresponds to electronic transitions that 1 terminate in the same final state. The longest and shortest wavelengths of the series are 63.3 nm and 22.8 nm, respectively. What is the ion?
- Scientists are conducting an experiment to determine if their hypothesis that a certain constant in the universe is 1.65. the uncertainties in the experiment result in a relative uncertainty of no more than 2%. After several experimental trials, the scientists obtained an average value of 1.7 for the constant. What can be said about the scientists hypothesis? Hint calculate the percent error and compare it to the relative uncertainty.2.9. (a) Solve the integral ...| (dx .dx3N) 3N and use it to determine the "volume" the relevant region of the phase space of an extreme relativistic gas ( = pc) of 3N particles moving in one dimension. Determine, as well, the number of ways of distributing a given energy E among this system of particles and show that, asymptotically, w0 = h³N. (b) Compare the thermodynamics of this system with that of the system considered in Problem 2.8.In Exercise 12.4 of your book, University Physics 15th edition (see End of the Chapter 12 section), what is the answer for sub-item (b) if the radius of the neutron star is 17.159 km? (express your answer in the proper SI unit and without scientific notation)
- Show that a potential difference of 1.02 x 106 V would be sufficient to give an electron a speed equal to twice the speed of light if Newtonian mechanics remained valid at high speeds. (b) What speed would an electron actually acquire in falling through a potential difference equal to 1.02 x 106 V ?Determine the ratio β=v/c for the following: (a) A car traveling 95 km/h. (b) A commercial jet airliner traveling 240 m/s. (c) A supersonic airplane traveling at Mach 2.3 (Mach number v/v sound). (d) The space station, traveling 27,000 km/h. (e) An electron traveling 25 cm in 2 ns. (f) A proton traveling across a nucleus (10-14 m) in 0.35 x 10-22 s.Please answer 2B and show all work