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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.

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.

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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 = (800.01- 300.07+ 200.0R) N after it has been displaced by an amount r = (12.01- 28.07 + 200.0 R) km c) When the rocket stabilizes, its force is F = 50,000.0 N Determine the velocity of the rocket when its power output is 100.0 MW. d) Calculate the acceleration due to Earth's gravity on the rocket when it is 5,000.0 km above the surface of the Earth.
Transcribed Image Text: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 = (800.01- 300.07+ 200.0R) N after it has been displaced by an amount r = (12.01- 28.07 + 200.0 R) km c) When the rocket stabilizes, its force is F = 50,000.0 N Determine the velocity of the rocket when its power output is 100.0 MW. d) Calculate the acceleration due to Earth's gravity on the rocket when it is 5,000.0 km above the surface of the Earth.
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