A space vehicle is traveling at 5900 km/h relative to the Earth when the exhaust

Question

A space vehicle is traveling at 5900 km/h relative to the Earth when the exhaustedrocket motor is disengaged and sent backward with a speed of99 km/h relative to the command module.The mass of the motor is four times the mass of the module. What isthe speed of the command module relative to Earth just after theseparation?
1 km/h
A space vehicle is traveling at 5900 km/h relative to the Earth when the exhaustedrocket motor is disengaged and sent backward with a speed of99 km/h relative to the command module.The mass of the motor is four times the mass of the module. What isthe speed of the command module relative to Earth just after theseparation?
1 km/h
A space vehicle is traveling at 5900 km/h relative to the Earth when the exhaustedrocket motor is disengaged and sent backward with a speed of99 km/h relative to the command module.The mass of the motor is four times the mass of the module. What isthe speed of the command module relative to Earth just after theseparation?
1 km/h

Explanation / Answer

conervation of momentum 5900*5m=4m*(5900-99)+m*V 5900-99 is speed of motor w.r.t. the Earth => V=6296 km/h

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