Answer Happy

CASE STUDY: UNIVERSAL GRAVITATION To launch a geosynchronous satellite, the satellite is first send into an Low Earth Orbit (LEO), orbit 1, and then a rocket engine will be ignited to propel it into an elliptical orbit, orbit 2. When it passes through the apogee where the distance between earth and the satellite is maximum, more fuel will be ignited, sending the satellite into the synchronous orbit, orbit 3. Orbit 1 is tangent to orbit 2 at point B and orbit 2 is tangent to orbit 3 at point A. 3 B 1. When the satellite operates normally on these orbits, which of the following statements is CORRECT? A. The operation period of the satellite in orbit 3 is 12 hours B. The operation period of the satellite in orbit 1 is 12 hours C. The acceleration of the satellite passing through point B on orbit 1 is greater than that of the satellite passing through point B on orbit 2 D. The acceleration of the satellite passing through point A on orbit 2 equals that of the satellite passing through point A on orbit 3 2. A satellite of mass m is in the geosynchronous orbit with speed v. What is the ratio of its escape speed from the orbit Vesc to its orbital speed Vesc/v? 3. If the satellite in a Low Earth Orbit (LEO), where its orbital radius is approximately the radius of the earth, finishes n revolutions in t seconds, what is the density of the earth?

Assume the mass of earth is M, the radius of a certain orbit is r. 4. what is the kinetic energy of a satellite with mass m in this orbit? 5. What is the gravitational potential energy of this satellite? 6. What is the satellite's mechanical energy? 7. How much energy is at least provided by an engine so that the satellite can be propelled from LEO into this orbit?