Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 6070 km. Satellite B is to orbit at an altitude of 19600 km. The radius of Earth RE is 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B to that of satellite A, in orbit? (c) Which satellite (answer A or B) has the greater total energy if each has a mass of 27.4 kg? (d) By how much? (a) Number Units (b) Number Units (c) (d) Number Units
![A spacecraft with mass 2070 kg is in circular orbit around Earth as shown with the green circle in the figure, at an altitude h = 690 km. What is the period of the orbit? Reminder: the radius of the orbit is the altitude plus RE, the radius of Earth. RE = 6.371×103 km. For reference, the mass of Earth, ME, is 5.98×1024 kg. T = s At point P in the orbit (see figure), the spacecraft reduces its speed by 1.7%, causing it to be in an elliptical orbit. What is the kinetic energy of the ship immediately after this slowing? (Note that the potential energy of orbit will not have changed since it is still at point P ). K = J [Note: use exponential notation to enter your answer: "9.99 e12" represent 9.99×1012. ] What is the semi-major axis of the new (elliptical) orbit? a = km What is the perigee distance for the new (elliptical) orbit? Rp = km](https://www.doubtrix.com/uploads/editor/6309357089jnyUuClMZS.png)