Calculate the speed of a satellite in orbit 9.5 × 103 km above Jupiter. (rJ = 7.18 × 107 m, MJ = 1.90 × 1027 kg).

A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg. First, find an expression for the gravitational potential energy PE in terms of G, M, m, and R.  a)Calculate the value of PE in joules.  b)Enter an expression for the total energy E of the satellite in terms of m and v.  c)Calculate the value of the total energy E in joules.

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 ? applied to the satellite that is required to accomplish that? The satellite's mass and altitude are 975 kg and 259 km. Earth's mass and radius are 5.98×1024 kg and 6370 km.W = ? J

On the ground level, the weight of a satellite is W N. The satellite is launched and stays in an orbit that is R/47 above the ground level, where R is radius of the Earth. If the gravitational force on the satellite is xW at this location, determine x.