Answer:
final velocity of the probe 253.30 m/s
Explanation:
Mass of space probe mi= 5510 kg
initial speed of probe vi= 250 m/s
Exhaust mass m= 75 kg
speed of exhaust vf = 241 m/s
Mass of the fuel mf= mi-m = 5510-75 =5435 kg
Final speed of probe
[tex]v_{f}=v_{i}+v_{r}ln(\frac{m_{i}}{m_{f}} )\\v_{f}=250+241 \times ln(\frac{5510}{5435} \\v_{f}=250+3.30\\v_{f}=253.30 m/s[/tex]
final velocity of the probe 253.30 m/s
