Answer:
v₁ = 0.29 [m/s]
Explanation:
This problem can be solved by preserving the momentum. This can be represented by means of the following equation.
[tex]m_{1}*v_{1}=m_{2}*v_{2}[/tex]
where:
m₁ = mass of the astronaut = 64 [kg]
v₁ = velocity of the astronaut [m/s]
m₂ = mass of the rock = 5.4 [kg]
v₂ = velocity of the rock = 3.5 [m/s]
Now replacing:
[tex]64*v_{1}=5.4*3.5\\v_{1}=0.29[m/s][/tex]
