Answer:
0.5 m/s
Explanation:
In solving this, we would be applying the principle of conservation of momentum. This states that momentum is conserved, and thus, Initial momentum has to be equal to the final momentum. This also means that it can be related by the formula
M * u = m * v, where
M = mass of the astronaut
m = mass of the wrench
u = speed of the astronaut
v = final speed of the wrench
70 * u m/s = 1.6 * 22 m/s
70u = 35.2 m/s
u = 35.2/70
u = 0.5 m/s