A star of mass M = 1.81 x 10kg is the origin of a coordinate system. A comet of mass m = 7.87 x 10¹2 kg is initially at location = 2.49 x 10¹5 mî +3.88 x 10¹¹ mj. The comet is travelling with velocity = 3.68 x 10³. (The input below will accept answers with no more than 1% variation from the correct value.)
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- The class I'm taking is physics for scientists and engineers! I am completely stuck. Need help. I have attached the problem. Please view both attachments before answering. Please write step-by-step solution so I can fully understand.Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 3.1x10^4 m/s when at a distance of 2.7x10^11 m from the center of the sun, what is its speed when at a distance of 4.7x10^10 m? Mass of the Sun is 1.99×10^30 kg. Gravitational constant is G=6.67×10^(−11) m^3 /(kg⋅s). What is the formula? (Answer: 75006.70209088 m/s)Jupiter'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 8.93×1022kg8.93×1022kg 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? (RE = 6370 km, mE=5.96×1024kg)
- Let G be the universal gravitational constant and mp be the mass of the planet a satellite is orbiting. Which equation could be used to find the velocity of the satellite if it is placed in a low Earth orbit? Let G be the universal gravitational constant and mp be the mass of the planet a satellite is orbiting. Which equation could be used to find the velocity of the satellite if it is placed in a low Earth orbit? Gue (13,522 km| Gm (7,324km| Gm (42,164 kI / Gue (48,115 km|'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 6.0 ✕ 104 light years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 6.9 ✕ 107 y instead, what is the mass (in solar masses) 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 massesDo all parts
- 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 6.0 ✕ 104 light years from its center. What should the orbital period (in y) of that star be?Two planets orbit a star in circular orbits, as shown. The mass of the star is 8 * 101 kg. The mass of planet 1 is 8 * 10ª kg. The orbital radius of planet 2 is 2 x 1o1ºm. When the planets are in the configuration shown F=(-9.34 * 1024 i + 1.28 * 1027 j) N. X- a. What is the orbital radius of planet 1? b. What is the mass of planet 2? c. What is the orbital period of planet 2?Let A⃗ =(9,78∘) and B⃗ =(2,289∘), where the angles are measured counterclockwise from the positive x-axis. What is C⃗ =4A⃗ +B⃗ ? Give your answer in component form. x component: y component:
- The distance between two stars of masses 3M² and 6M, is 9R. Here R is the mean distance between the centers of the Earth and the Sun, and Mã is the mass of the Sun. The two stars orbit around their common center of mass in circular orbits with period nT, where T is the period of Earth's revolution around the Sun. The value of n isPart 2 (b) What initial speed is needed so that when the object is far from Saturn its final speed is 0 m/s? (This is called the "escape speed.") Vescape = i m/sAfter landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 46.0 cm. The explorer finds that the pendulum completes 98.0 full swing cycles in a time of 145 s. What is the magnitude of the gravitational acceleration on this planet? Express your answer in meters per second per secondgPlanet=(?)m/s^2