A 5600 kg rocket is floating in space. The scientists inside see an asteroid approaching and want to land on it to take samples. The asteroid is moving at 2.5 km/s, forward and away from the rocket. (a) If the fuel is exhausted at 1.3 km/s, what is the final mass of the rocket when it reaches the same speed as the asteroid? (b) What mass of fuel was burned? (c) The scientists need to be going 0.56 km/s in the other direction to get home in 3 months. Do you think they have enough fuel to reach this velocity? Explain. (The average mass of a person is 70 kg.)