A 623 kg astronaut is on a space walk when the tether line t

A 62.3 kg astronaut is on a space walk when the tether line to the shuttle breaks. the astronaut is able to throw a 10.0 kg oxygen tank in a direction away from the shuttle with a speed of 11.3 m/s. propelling the astronaut back to the shuttle. Assuming that the astronaut starts from rest. find the final speed of the astronaut, after throwing the tank. Answer in units of m/s.

Solution

By Conservation of momentum

m₁u₁+m₂u₂=m₁V₁+m₂V₂

Since astronaut starts from rest u₁=u₂=0

0=62.3*V₁+10*(-11.3)

V₁=113/62.3

V₁=1.8 m/s