An astronaut floating in the payload bay of the space shuttle is at rest with re

Question

An astronaut floating in the payload bay of the space shuttle is at rest with respect to the shuttle. He is holding an antenna that is twice as massive as he is. The astronaut pushes the antenna away with a force that lasts until his arms are outstretched and he no longer can touch the antenna. Afterwards the antenna is moving with a velocity V with respect to the space shuttle. What is the velocity of the astronaut?
a. The astronaut recoils with velocity V in the direction opposite to that of the antenna.
b. The astronaut recoils with a velocity of V/2 in the same direction as that of the antenna
c. The astronaut recoils with a velocity of 2V in the same direction as that of the antenna.
d. The astronaut recoils with velocity V/2 in the direction opposite to that of the antenna.
e. The astronaut recoils with velocity 2V in the direction opposite to that of the antenna

Please explain!!!

Explanation / Answer

The astronaut recoils with velocity 2V in the direction opposite to that of the antenna because momentum in coserved mV1=2mV V1=2v

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