A space rocket has a total mass of 2.8 x 106 kg. It is initially at rest on the Earth. The fuel burn rate is 20,150.0 kg/s. The exhaust velocity is 2.3 x 103 m/s. The radius of the Earth is 6,357 km. a) Calculate the thrust of this rocket. b) The space rocket can be modeled as a particle. Using Cartesian coordinates with the Earth as the origin, determine the work done on the rocket by a constant force of F = (800.0 ĩ- 300.07+ 200.0 R) N after it has been displaced by an amount r = (12.07- 28.07 + 200.0 R) km c) When the rocket stabilizes, its force is F = 50,000.0N Determine the velocity of the rocket when its power output is 100.0 MW.