Aspace vehicle is traveling at 5125 km/h relative to the earth when the exhausted rocket motor (mass 4m) is disengaged and sent backward with a speed of 87 km/h relative to the command module (mass m). what is the speed of the command module relative to earth just after the separation?

1094.6 km/h

Explanation:

= Speed of command module

= Speed of motor

m = Mass of motor

4m = Mass of module

v = Velocity of space vehicle = 5125 km/h

Relative velocity

As the linear momentum of the system is conserved

The speed of the command module relative to Earth just after the separation is 1094.6 km/h