A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 53.1 x 10^5 kg, of which 3.81 x 10^5 kg is fuel. The rocket engine is then fired for 420 s, during which fuel is consumed at the rate of 410 kg/s. The speed of the exhaust products relative to the rocket is 3.39 km/s.
(a) What is the rocket's thrust? After the 420 s firing, what are
(b) the mass and
(c) the speed of the rocket?