Two Jupiter-size planets are released from rest 1.20x10¹1 m apart. Part A What are their speeds as they crash together? Express your answer with the appropriate units. μA Value Units ?
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- For many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?An extrasolar planet has mass 1.27E+25 kg and radius 67400000_m. What is the escape speed for this planet? 11440_m/s 12230_m/s 5014_m/s А. D. 16190_m/s В. Е. 1973_m/s С. F. 9206 m/sA number of gas giant planets orbiting other stars at distances less than 1 A.U. have been discovered. Because of their proximity to their parent stars, and their compositional similarity to Jupiter, they have been labeled “Hot Jupiters”. The orbital radius of one of these planets is 0.06 A.U. with average orbital speed 600 km/sec. What is the length of this planet’s year in Earth (solar) days? Estimate the mass, M, of its parent star in terms of the mass of the sun (M) using Newton’s first form of Kepler’s 3rd Law. Calculate the star’s luminosity, L, in terms of the luminosity of the sun (L☉), Note: (LL=MM4where L ~ 4 × 1026 W ). The radius of this planet is 1.5 times the radius of Jupiter. Assuming its equilibrium temperature is the temperature at which the planet radiates as much energy as it receives from its star, estimate the temperature of the planet. The value of the planet’s albedo is 0.8. (NOTE: The intensity of the star’s radiant power at a distance d from the star is…
- Europa orbits Jupiter at a distance of 6.7 x 108 m from Jupiter's cloudtops (the surface of the planet). If Jupiter's mass is 1.9 x 1027 kg and radius is 6.8 x 107 m, what is the speed of Europa as it orbits in m/s? Round to the nearest hundredth. Don't worry about putting units, just put the number.The escape speed of a projectile on the earth’s surface is 11.2 km s-1. A body is projected out with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun and other planets.Assume that planet A has radius RA and mass MA planet B has radius Rg and mass Mg. Let gA and g; are the accelerations due to gravity at their surfaces, respectively. If MA = Mg, and RA = 2Rg The ratio (ga/gB) is: and !! %3D А. 1 В. 2 C. 4 D. 0.5 E. 0.25
- Two planets P, and P, orbit around a star S in circular orbits with speeds v, = 46.4 km/s, and v, = 57.4 km/s respectivel (a) If the period of the first planet P, is 710 years what is the mass, in kg, of the star it orbits around? kg (b) Determine the orbital period, in years, of P2. yrA meteor of mass m is approaching earth as shown on the sketch. The distance h on the sketch below is called the impact parameter. The radius of the earth is Re 6400km . The 6x1024 kg mass of the earth is me = Suppose the meteor has an initial speed of vo = 30km/s. Assume that the meteor started very far away from the earth. Suppose the meteor just passes earth at a distance of 2.5 Re from the earth's center. You may ignore all other gravitational forces except the earth. Find the moment arm h in km (called the impact parameter). G -11 6.673x10-"Nm²kg %3D meteor very far away Vo h impact parameter planetJupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022kg and a radius of 1821 km How high would this material go on earth if it were ejected with the same speed as on Io? (REarth = 6370 km, mEartg=5.96×1024kg) NOTE: Your answer suggests that you have assumed constant gravitational acceleration over the whole height of the ejected debris. Note that the gravitational field changes quite significantly over this height.
- There are three end states for stars that run out of fuel. When stars run out of fuel, gravitational collapse occurs. The three end states are: White drawfs(low mass), Neutron stars(mid-mass), and Black holes(high mass). Lets do a problem on a Neutron star. Neutron stars are extremely dense objects that are formed from the remnants of supernova explosions. Many rotate very rapidly. Suppose that the mass of a certain spherical neutron star is twice the mass of the Sun and its radius is 10.0 km. Determine the greatest possible angular speed (omega) the neutron star can have so, that the an object with a mass of 1 kg, at the its surface on the equator, is to be just held in orbit by the gravitational force. Mass of Sun = 1.99 x 10^30 kg. rad/sAssume that planet A has radius RA and mass MA, and planet B has radius Rg and mass Mg. Let ga and gg are the accelerations due to gravity at their surfaces, respectively. If MA = Mg, and RA = 2Rg The ratio (g,/Ba) is: A. 1 B. 2 C. 4 D. 0.5 E. 0.25QUESTION 17 In a distant solar system, a planet of mass 5.0 x 1024 kg orbits a sun of mass 3.0 x 1030 kg at a constant distance of 2.0 x101 m. How many earth days does it take for the planet ot execute one complete orbit about the sun? a. 660 days b. 460 days с. 360 days d. 260 days е. 560 days