For a circular velocity profile of the type (r) = ar¹/9, where a is a constant and r is the radial distance from the centre of a spiral galaxy, find the ratio K(r)/(r), where K(r) is the epicyclic frequency and 2(r) is the angular velocity. Enter your answer to 2 decimal places.
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- Astronomers use the distance modulus function M(r) = 5 log r − 5, where M is the distance modulus and r is the distance of a star from Earth in parsecs. (One parsec is approximately 1.92 1013 miles, or approximately 20 trillion miles.) Use this function to answer the question below. Round to the nearest tenth.The distance modulus of "Star Alpha" is −1.21. How many parsecs from Earth is this star?The distance from the Sun to the nearest star is about 4 1016 m. The Milky Way galaxy (Fig. P1.56) is roughly a disk of diameter 1021 m and thickness 1019 m. Find the order of magnitude of the number of stars in the Milky Way. Assume the distance between the Sun and our nearest neighbor is typical. Figure P1.56 The Milky Way galaxy.Explain the solution on how to solve this step by step ? Given: 15000ft/s 1200 miles v² sin(20) R = here R = 1200 mile = 1200 × 5280 = 6336000 ft g = 32.2 ft/s? so put the values in the equation %3D (15000)² sin(20) 32.2 6336000 = sin (20) = 6336000x32.2 (15000)? 20 = sin- (0. 9067) 65.06 0 = = 32. 53 = 0 = 32. 53° so now the flight time 2 vsin(0) 2x15000 sin(32.53) T 32.2 T = 501 sec %3D
- I am working on this problem and I think I am pretty close but I keep getting wrong answers. How do I do this? In this problem, I am solving for h.The area of a circle is given by ar? where r is the radius. This can be written as area = (ar) x r. Can we regard this equation as being of the form: z = xy 1 PHY1509 PHYSICS SECTION: UNIQUE NUMBER (714489) where z = area, x = ar and y = r so that one can use equation (10.12) or (10.13) instead of equation (10.15) for determining the error in the area? Give reasons for your answer.Variable stars are ones whose brightness varies periodically. The brightness of a certain star is modeled by the function b(t) = 8.2 − 2.7 cos ((pi/155)t) where t is measured in days. (a) Find the period. days(b) Find the maximum and minimum brightness. (minimum) (maximum)
- At t=o , the diagram belou shows V and I. write vlt) and ict) 'in the frequenay domain : vIE)=Vm cos (wt+ P, i (6) = Im coscas t+ $ ) where ! : C- - -) 2 (a)300,-60 (b) - 60, 0 - 6 0 + Vm GO d) 60 , o ve)o, 6 0A mole contains 6.02 * 1023 particles (atoms, molecules, etc.). If you wanted to reach Alpha Centauri (4.367 light-years away) by creating a strand of carbon atoms (0.3 nm diameter), how many moles of carbon would you need? (Note: 1 light-year = 9.46 * 1012km)We are going to make a simple approximation of the number of atoms in the universe. Assume all the atoms in the universe are hydrogen. (In actual practice, over 75% of the atoms in the universe are hydrogen.) Assume the sun is a typical star (made of pure hydrogen) has a density of 1.4 g/cm3 and is a sphere with a radius of 7.0*108m Assume that there are 100 billion stars in our Milky Way galaxy that are identical to our sun. Assume that there are 10 billion galaxies in the universe identical to our Milky Way galaxy. How many atoms are there in the universe?
- Chapter 5, Section 5.8, Question 32 Determine the length of a rectangular trench you can dig with the energy gained from eating one Milky Way bar (270 cal). Assume that you convert the energy gained from the food with 5% efficiency and that the trench is 7 meters wide and 1 meter deep. Use the fact that the density of soil is 1000 kg/m³ and the acceleration due to gravity is 9.81 m/s². Round your answer to two decimal places. The length of the trench is the tolerance is +/- 2% Click if you would like to Show Work for this question: Open Show Work LINK TO TEXT meters.How do you find the area of this? I had to do an experiment where you take a styrofoam cup and poke a flashlight through the bottom of it, then shine the light onto a wall from different distances and measure the diameter. I have to calculate the area. It it just pi*r^2? That's what I did, but then I've seen someone else use 4*pi*r^2 and that confused me. I want to make sure I done it right.For example, for the equation r TV, if G = y and V = x, what represents m? If we solve for G, then G = rTV = (rTt)V. We have now put it in the form of y= (m)* x. Writing it like this, we can easily identify rTt as the slope m. a) For the equation: Rx = = Rk b) For the equation: VAB = R₁ -Vo if Rx 1 1+ R2 2 = y and R₂ = x, what is m? ARx, if VAB = y and ARx Rk = x, what is m?