ngCourse Homepllege.com/course.html?courseld=17255520&OpenVellumHMAC=542b08604d0440e90b83676f5b1111f2#10001me tamer type or Change Tras a speciaTae, ecentripetal acceleration. In this problem we consider amass moving in a circle of radius R with angular velocityan Review I ConstantsPart AF(t) = R cos(wt)i + sin(wt)}= R cos(wt)i + R sin(wt)j.What is the velocity of the mass at a time t? You can work this out geometrically with thehelp of the hints, or by differentiating the expression for T (t) given in the introduction.(Figure 2)The main point of the problem is to compute theacceleration using geometric arguments. (Figure 1)Express this velocity in terms of R, w, t, and the unit vectors i and j.FigureK 1 of 3>> View Available Hint(s)v (t) =7()SubmitPrevious AnswersX Incorrect; Try Again; 5 attempts remainingAssume that the mass has been moving along its circular path for some time. You start timingP PearsonCopyright © 2022 Pearson Education Inc. All rights reserved. Terms of Use | Privacy Policy | Permissions | Contact Us |Screen Sho2022-03.2.5324étvMacBook Air吕0888DIIDDF3F4F5F6F7F8F9F10F11&()*2$457YUP* 00< cO =17255520&OpenVellumHMAC=542b08604d0440e90b83676f5b1111f2#10001plem we consider a2 with angular velocityI Review I ConstantsPart Bsin (at)}]in (ut)j.What is the velocity of the mass at a time - t?Express this velocity in terms of R, w, t, and the unit vectors i and j.elccompute theents. (Figure 1)ΑΣφ?< 1 of 3>)7 (-t) =SubmitRequest AnswerPart CWhat is the average acceleration of the mass during the time interval from -t tot?(Figure 3)Express this acceleration in terms of R, w, t, and the unit vectors i and j.• View Available Hint(s)PearsonSc22Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us |VInutes AgoScreen Shot2022-03...2.53 AM 2022étvMacBook AirDIIDDF5F12F6F7F8F9F10F11> ...

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Review I Constants centripetal acceleration. In this problem we consider a mass moving in a circle of radius R with angular velocity w. Part A F(t) = R cos(wt)i + sin(wt)j R cos(wt)i + R sin(wt)j. %3D What is the velocity of the mass at a time t? You can work this out geometrically with the help of the hints, or by differentiating the expression for 7 (t) given in the introduction. (Figure 2) сan The main point of the problem is to compute the acceleration using geometric arguments. (Figure 1) Express this velocity in terms of R, w, t, and the unit vectors i and j. Figure K 1 of 3 > > View Available Hint(s) i (t) = %3!

Review I Constants centripetal acceleration. In this problem we consider a mass moving in a circle of radius R with angular velocity w. Part A F(t) = R cos(wt)i + sin(wt)j R cos(wt)i + R sin(wt)j. %3D What is the velocity of the mass at a time t? You can work this out geometrically with the help of the hints, or by differentiating the expression for 7 (t) given in the introduction. (Figure 2) сan The main point of the problem is to compute the acceleration using geometric arguments. (Figure 1) Express this velocity in terms of R, w, t, and the unit vectors i and j. Figure K 1 of 3 > > View Available Hint(s) i (t) = %3!

Astronomy

1st Edition

ISBN:9781938168284

Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Publisher:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Chapter25: The Milky Way Galaxy

Section: Chapter Questions

Problem 24E: The first clue that the Galaxy contains a lot of dark matter was the observation that the orbital...

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#1 Orbital DynamicsSuppose a satellite is in orbit about the Earth at a height of 2500 km above the surface of the Earth. If the radius of the Earth is 6370 km, what is the radius of the satellite’s orbit? Recall that r = RE + H. In #1, what is the period of the satellite’s orbit in hours? It may be helpful to remember that G = 6.67 × 10−11 kg−1m3s−2, while ME = 5.96 × 1024 kg. In addition recall that the formula for the orbital period is: ⃝ A. 2.31 hours ⃝ B. 3.59 hours ⃝ C. 5.12 hours ⃝ D. 8.27 hours ? r3T=2π GM (1)
What is an orbital acceleration on an object? Explain it by giving an example.
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 1011 solar masses. A star orbiting near the galaxy's periphery is 5.6 104 light years from its center. (For your calculations, assume that the galaxy's mass is concentrated near its center.) (a) What should the orbital period of that star be?_________yr (b) If its period is 6.0x107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies._________ Solar Masses
The globular clusters revolve around the Galaxy in highly elliptical orbits. Where would you expect the clusters to spend most of their time? (Think of Kepler’s laws.) At any given time, would you expect most globular clusters to be moving at high or low speeds with respect to the center of the Galaxy? Why?
(a) What is the approximate force of gravity on a 70kg person due to the Andromeda galaxy, assuming its total mass is 1013 than of our Sun and acts like a single mass 2 Mly away? (b) What is the ratio of this force to the person's weight? Note that Andromeda is the closest large galaxy.
The best evidence for a black hole at the center of the Galaxy also comes from the application of Kepler’s third law. Suppose a star at a distance of 20 light-hours from the center of the Galaxy has an orbital speed of 6200 km/s. How much mass must be located inside its orbit?
A day on Splorg lasts the equivalent of 31.7 hours. At the equator, Splorg has a circumference of 54,660 km. It takes a 2 kg mass exactly 0.56 s to fall a distance of 2 m at the surface of Splorg. At what radial distance would you need to orbit a satellite so that it always remained at the same location above the Splorigian equator (i.e. in splorgeosynchronous orbit)? At what velocity does the spacecraft need to reach in order for it to escape the gravity of Splorg.
Among the globular clusters orbiting a distant galaxy, one is moving at 534 km/s and is located 14 kpc from the center of the galaxy. Assuming the globular cluster is located outside most of the mass of the galaxy, what is the mass of the galaxy? Convert your answer to solar masses. (Hint: Use the formula for circular velocity, Vc = GM r ; make sure you convert relevant quantities to units of meters, kilograms, and seconds. Note: 1 pc = 3.1 ✕ 1016 m.)
You observe the H-alpha line of Hydrogen in a distant galaxy to have a wavelength of 918.4 nm. What is the radial velocity of the galaxy?
You observe the H-alpha line of Hydrogen in a distant galaxy to have a wavelength of 754.4 nm. What is the radial velocity of the galaxy? Hint: The rest wavelength of H-alpha is 656 nm. I have to use the forumla mentioned in the photo I shared with this post.
State And Explain Hubbles Law?
In what ways did the astronomical observations of Galileo support a heliocentric cosmology? Describe in detail at least two specific examples.