For any object orbiting the Sun, Kepler's Law may be written T2 = kr3. If T is measured in years and r in units of the Earth's distance from the Sun, then k = 1. What, therefore, is the time (in years) for a comet to orbit the Sun if its mean radius from the Sun is 10^4 times the Earth's distance from the Sun? a. 10^4 years b. 10^6 years c. 10^8 years d. 10^10 years
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- no handwritten choose correct option..A satellite of mass 200 kg is launched from a site on Earth’s equator into an orbit 200 km above the surface of Earth. a. What is the satellite’s speed before it’s launched (in m/s)? (Hopefully, it’s moving along with the surface of the Earth as the Earth rotates.) b. What is the satellite’s speed in its orbit (in m/s)? (Remember there is only onespeed a satellite can have in order to maintain a stable circular orbit with agiven radius.) c. Assuming a circular orbit, what is the orbital period of this satellite? (In other words, how long (in hours) does it take for the satellite to complete one orbit?) d. What is the minimum energy (work) necessary to place the satellite in orbit,assuming no air friction? (Remember, work is the amount of energy added tothe system, and the total energy of the system is a combination of kinetic andgravitational potential energies.)Two planets orbit a star. You can ignore the gravitational interactions between the planets. Planet 1 has orbital radius r₁, and planet 2 has r₂ = 4r₁ Planet 1 orbits with period T₁ Planet 2 orbits with period A. T₂ = -1/T₁ B. T₂=2T₁ C. T₂ = 4T₁ D. T₂=8T₁
- An 800 kg satellite orbits Earth and take one day for complete orbit. Earth has a radiu 6,372 km and a mass of 5.972 x 10^24. A. If the radius of orbit is constant, find the altitude of the satellite above Earth's surface. B. Find the orbital speed of the satellite C. The satellite suddenly turns off, stops moving and heads straight towards the surface of Earth. At what speed will the satellite crash into the Earth's surface? (Hint: Use energy conservation)Using the public data from Hubble Space Telescope, a citizen scientist discovers a previously unknown body between Mars and Jupiter. Excited at the discovery, the scientist determines that the orbital distance of the body from the Sun is 4 times the Earth's distance from the Sun. From this information, the citizen scientist determines the period of its revolution to be a. one fourth year b. 16 years c. 4 years d. 8 yearsThe moon's period of revolution around the Earth is 27.3 d. How far away is the moon from the surface of the Earth? O A) 1.33× 107 m B) 3.83 × 108 m C) 3.77 × 108 m D) 4.88 × 10⁹ m
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