(hrw8c9p40) A space vehicle is traveling at 4350 km/h relative to the Earth when the exhausted rocket motor is disengaged and sent backward with a speed of 64 km/h relative to the command module. The mass of the motor is four times the mass of the module. What is the speed (km/h) of the command module relative to Earth after the separation?

4298.8 km/h

Explanation:

Given

velocity of space vehicle

Mass of motor is 4 times the mass of module

suppose m is the mass of module therefore

mass of motor is 4 m

velocity of disengaged motor is 64 km/h   relative to command module

we can write

where =velocity of motor relative to earth

=velocity of motor relative to command module

=velocity of command relative to earth

Conserving momentum

where M is combined mass of motor and module

0.55x745.7j and a calculator

a displacement distance is size of displ