A rocket has a total mass of 1.00 x 105Kg and a burnout mass of 1.00 x 104Kg, including engines, shell, and payload. The rocket blasts off from Earth and exhausts all its fuel in 4.00 min, burning the fuel at a steady rate with an exhaust velocity of ve = 4.50 x 103 m/s.
(a) If air friction and gravity are neglected, what is the speed of the rocket at burnout?
(b) What thrust does the engine develop at lift off?
(c) What is the initial acceleration of the rocket if gravity is not neglected?
(d) Estimate the speed at burnout if gravity is not neglected.