Answer:
The time it will take the astronaut to coast back to her ship is 500 seconds
Explanation:
Mass of wrench, m₁ = 2 kg
Mass of astronaut with spacesuit, m₂ = 200 kg
Velocity of wrench, v₁ = 20 m/s
Velocity of astronaut with spacesuit v₂
Distance between the astronaut and the ship is 100 m
As linear momentum is conserved
[tex]m_1v_1+m_2v_2=0\\\\\Rightarrow v_2=\frac{m_1v_1}{m_2}\\\\\Rightarrow v_2=\frac{2\times 20}{200}\\\\\Rightarrow v_2=0.2\ m/s[/tex]
[tex]Time = \frac{ Distance}{Speed}[/tex]
[tex]Time=\frac{100}{0.2}=500\ s[/tex]
Hence, The time it will take the astronaut to coast back to her ship is 500 seconds
