A satellite is in a circular orbit at an altitude of 250 km above the earth's surface. If an onboard rocket provides an instantaneous AV of 200 m/s in the direction of the satellite's motion, calculate the altitude of the new orbit's apogee.

Current Attempt in Progress One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M-2.97 x 1024 kg and R-8.31 x 10 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet? (a) Number (b) Number Units Units

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 5390 km. Satellite B is to orbit at an altitude of 22500 km. The radius of Earth REis 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 11.7 kg? (d) By how much?

The orbit of the planet Venus is nearly circular with an orbital velocity of 126.5x103 km/h. Knowing that the mean distance from the center of the sun to the center of Venus is 108.5?1021 km and that the radius of the sun is 695.5x103 km, determine (a) the mass of the sun, (b) the acceleration of gravity at the surface of the sun.

(a) What linear speed must an Earth satellite have to be in a circular orbit at an altitude of 160 km above Earth's surface?  (b) What is the period of revolution?  Take the mass of earth as 5.98×1024 kg and the radius as 6.37×106 m

A 639-kg satellite is in a circular orbit about Earth at a height ℎ=1.09e7h=1.09e7 m above the Earth's surface. Find (a) the gravitational force acting on the satellite, (b) the satellite's speed (magnitude of its velocity, notnot  its angular velocity), and (c) the period of its revolution. Caution: The radius of the satellite's orbit is not just its height above the Earth's surface. It also includes the radius of the Earth. The mass of the Earth is 5.98×10245.98×1024 kg, and the radius of the Earth is 6.38×1066.38×106 m.

Zero, a hypothetical planet, has a mass of 4.7 x 1023 kg, a radius of 3.2 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0 x 106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? (a) Number: i Units: (b) Number: i Units:

(a) Calculate the work (in MJ) necessary to bring a 105 kg object to a height of 1004 km above the surface of the Earth. MJ (b) Calculate the extra work (in J) needed to launch the object into circular orbit at this height.