A 5.00 x 102-kg communications satellite is to be placed into a circular geosynchronous orbit around Earth. (A geosynchronous satellite remains in the same relative position above Earth because it has a period of 24.0 h, the same as that of Earth's rotation on its axis.) (a) What is the radius of the satellite's orbit? (b) What is the gravitational potential energy of the satellite when it is attached to its launch rocket, at rest on Earth's surface? (c) What is the total energy of the satellite when it is in geosynchronous orbit?

A satellite in Earth orbit has a mass of 105 kg and is at an altitude of 1.95 x 10° m. (Assume that U = 0 as r → ∞.) (a) What is the potential energy of the satellite-Earth system? (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force enter 0.)

A 19 kg. rock is thrown straight down toward the Earth from a distance of 10 earth radii above the surface of the Earth with a speed of 5400 m/s. The radius of the Earth is 6370000 meters. The mass of the earth is 5.98e+24 kg. (A)Find the initial kinetic energy of the rock (in J)     (B)Find the initial potential energy (in J) of the rock (HINT: the "r" in the potential energy formula is measured from the CENTER of the Earth).     (C)Find the total initial energy (in J) of the rock     (D)What is the potential energy (in J) of the rock after it has fallen 4 Earth radii from its original position.     (E)Using the Conservation of Energy, find the speed (in m/s) of the rock after it has fallen 4 Earth radii from its original position.

How much energy is required to move a 1400 kg object from the Earth's surface to an altitude twice the Earth's radius? A 965-kg satellite orbits the Earth at a constant altitude of 109-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 190 km? MJ (b) What is the change in the system's kinetic energy? MJ (c) What is the change in the system's potential energy? MJ

A geosynchronous satellite moves in a circular orbit around the Earth and completes one circle in the same time T during which the Earth completes one revolution around its own axis. The satellite has mass m and the Earth has mass M and radius R. In order to be geosynchronous, the satellite must be at a certain height h above the Earth’s surface. Part (a)  Derive an expression for h in terms of m, M, R, T and constants.  Part (b)  Calculate the numerical value for h in meters.

In a futuristic scenario, you are assigned the mission of making an enemy satellite that is in a circular orbit around Earth inoperative. You know you cannot destroy the satellite, as it is well protected against attack, but you can try to knock it out of its orbit so it will fly away and never return. What is the minimum amount of work ?W applied to the satellite that is required to accomplish that? The satellite's mass and altitude are 969 kg969 kg and 241 km.241 km. Earth's mass and radius are 5.98×1024 kg5.98×1024 kg and 6370 km.

In deep space, sphere A of mass 30 kg is located at the origin of an x axis and sphere B of mass 10 kg is located on the axis at x = 0.85 m. Sphere B is released from rest while sphere A is held at the origin. (a) What is the gravitational potential energy of the two-sphere system just as B is released? (b) What is the kinetic energy of B when it has moved 0.25 m toward A? Additional Materials eBook Powers of Ten

A satellite is in orbit above a planet. Which of the following is TRUE? 1. The total energy of the satellite is positive 2. The kinetic energy and GPE of the satellite is negative 3. The kinetic energy and GPE of the satellite is positive 4.The total energy and GPE of the satellite is negative

A 342 kg satellite currently orbits the Earth in a circle with radius 6.51x10^7m. The satellite must be moved to a new circular orbit of radius 8.22x10^7m. Calculate the additional total mechanical energy that the satellite requires. The mass of the Earth is 5.97x10^24kg G is 6.67x10^-11Nm^2/kg^2

A satellite in Earth orbit has a mass of 103 kg and is at an altitude of 1.91  106 m. (Assume that U = 0 as r → ∞.) (a) What is the potential energy of the satellite–Earth system? (J) (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (N) (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force enter 0.) (N)