Aspace vehicle is traveling at 4000 km/h relative to the earth when the exhausted rocket motor (mass 4m) is disengaged and sent backward with a speed of 85 km/h relative to the command module (mass m). what is the speed of the command module relative to earth just after the separation?

the velocity of command module with respect to earth is equal to  3932 km/h

Explanation:

given,

velocity of space vehicle = 4000 km/h

velocity of motor relative to module ( vb - v a ) = 85 Km/h

mass of rocket motor = 4 m

mass of command module = m

the mass of the vehicle before disengaged = 4 m + m = 5 m

from law of conservation of momentum

hence, the velocity of command module with respect to earth is equal to  3932 km/h

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