# A 129-kg astronaut (including space suit) acquires a speed of 2.90 m/s by pushing off with her legs from a 1900-kg space capsule. Use the reference frame in which the capsule is at rest before the push. What is the velocity of the space capsule after the push in the reference frame? Express your answer to two significant figures and include the appropriate units.

A 129-kg astronaut (including space suit) acquires a speed of 2.90 m/s by pushing off with her legs from a 1900-kg space capsule. Use the reference frame in which the capsule is at rest before the push.
What is the velocity of the space capsule after the push in the reference frame? Express your answer to two significant figures and include the appropriate units. Enter positive value if the direction of the velocity is in the direction of the velocity of the astronaut and negative value if the direction of the velocity is in the direction opposite to the velocity of the astronaut.
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autosmut6p
Step 1
From the conservation of momentum we know that,
${m}_{1}{u}_{1}+{m}_{2}{u}_{2}={m}_{1}{v}_{1}+{m}_{2}{v}_{2}........\left(1\right)$
Here

Putting these values in (1) we get
$0=129×2.90+1900×{v}_{2}$
Or,