Centauri A and Centauri B are binary stars with a separation of 3.45 x 10¹2 m and an orbital period of 2.52 × 10⁹ s. Part A Assuming the two stars are equally massive (which is approximately the case), determine their speed. V= 15. ΑΣΦ ? km/s
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- Show that the velocity of a star orbiting its galaxy in a circular oibit 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.Can you please help w/ the question in the pic? This is the data I have so far: 1. Determine the mass M of the massive object at the center of the Milky Way galaxy. Take the distance of one light year to be 9.461x10^15: answer= 4.26*10^37 2.Express your answer in solar masses instead of kilograms, where one solar mass is equal to the mass of the sun, which is 1.99*10^30: answer=2.14*10^7 TIAThe Small Magellanic Cloud is a dwarf galay orbiting the Milky Way at a distance of 50 kiloparsecs from its center, on a circular orbit. It is moving at a velocity. rolative to the Milky Way, of 207 km/s. What is the mass of the Milky Way, in units of solar masses, inside the Cloud's orbit? B !! 245 If'a quasar emits 10^(10) times the Sun's luminosity, converting 10% of the mass of the material it eats into radiation, how many stars (ach of the Sun's mans) must it consume per year?
- The energy to move a rocket (mass m) infinitely far from the Earth (Radius R and mass M) 00 GMmdx E 1 mv; mV? 2 that equals E. .2 What escape velocity at liftoff gives an energy is RA star, which is 2.3 x 1020 m from the center of a galaxy, revolves around that center once every 2.3 x 10% years. Assuming each star in the galaxy has a mass equal to the Sun's mass of 2.0 x 1030 kg, the stars are distributed uniformly in a sphere about the galactic center, and the star of interest is at the edge of that sphere, éstimate the number of stars in the galaxy. Number i UnitsThe kinetic energy of the ejecta from a supernova explosion is about 10^44 joules. Use the formula for kinetic energy to determine the typical speed at which matter is ejected from a supernova with a mass of 10 Msun. Compare that speed with the Sunʹs orbital speed around our galaxy. Based on your comparison, do you think the galaxyʹs gravity would be strong enough to retain the supernova debris if there were no interstellar medium to slow it down? Explain.
- Not sure what I'm doing wrong. I know that Fc= (m)(v^2/r) with: m= 0.0011kg r=0.84/2 Fc=3.9N but when I plug all that into the equation, I'm being told it's wrong. What am I missing?a. Find the acceleration due to gravity at the surface of a neutron star of mass 1.5 solar masses and having a radius of R = 10.0 km. b. Find the weight of a 0.120-kg baseball on the surface of this star. c. Assume the equation U = mgh applies, and calculate the energy that a 70.0-kg person would expend climbing a 1.00-cm-tall mountain on the neutron star. d. Find the speed needed by a small satellite to maintain a circular orbit with a radius of 2R around the neutron star.D Gm₁m₂ Fg KE = mv², Ug = - 2πr , ac = =²₁, v = ²7₁ T Gm₁m₂ GM g = G, Vesc = 2GM R , E = KE + Ug, G = 6.674 x 10-¹1 Nm²/kg² Problem 1: You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its radius to be 9 x 106 m and its rotation period to be 22.3 hours. You have previously determined that the planet orbits 2.2 x 10¹¹ m from its star with a period of 402 days (3.473 x 107 sec). Once on the surface you find that the free-fall acceleration is 12.2 m/sec². a) What is the mass of the planet? Answer: 1.5 x 1025 kg. b) What is the mass of the star? Answer: 5.2 x 1030 kg.
- The Schwarzschild radius RBH for an object of mass M is defined as (See image.) where c is the speed of light and G is the universal gravitational constant. RBH gives the radius of the event horizon of a black hole with mass M. In other words, it gives the radius to which some amount of mass M would need to be compressed in order to form a black hole. 1. The mass of the Sun is about 1.99 × 1030 kg. What would be the radius of a black hole with this mass? 2. The mass of Mars is about 6.42 × 1023 kg. What would be the radius of a black hole with this mass? 3. Suppose you want to make a black hole that is roughly the size of an atom (take RBH = 1.10 x 10-10 m). What would be the mass M of such a black hole?Compact objects and black-holes 2. Consider three compact objects in the form of: a white dwarf of 0.5Mo; a neutron star of 1.4Mo and a black-hole of 50 Mo. The radii of the white dwarf and neutron star are: Rwp 5.5 106 m and and RNS 10 Km. (a) Determine the radii of curvature Re = c2/g (where c is the speed of light and g is the local gravitational acceleration) around cach objcct specifying which radius you assume for the BH.The energy to mové a rocket (mass m) nfinitely far from the Earth (Radius R and mass M) E = jGMma 1 E = x? 2 is What escape velocity at liftoff gives an energy that equals E. R