Answer:
2.405 m/s
Step-by-step explanation:
Given that,
Mass of a women, m₁ = 60 kg
Mass of a ball, m₂ = 3.9 kg
Velocity of the ball, v₂ = 37 m/s
We need to find the velocity of the woman. It is a concept based on the conservation of linear momentum. Let v₁ is the velocity of the woman. So,
![m_1v_1=m_2v_2\\\\v_1=(m_2v_2)/(m_1)\\\\v_1=(3.9* 37)/(60)\\\\v_1=2.405\ m/s](https://img.qammunity.org/2021/formulas/physics/college/neuzofl1p9hvgthm328a32dzy9t319nni6.png)
So, the velocity of the woman is 2.405 m/s.