Question

How to solve an inelastic collision question using vector components?

Answer 1

How to solve an inelastic collision question using vector components? Please explain your answer

Solution:

Let's show it in an example:

Absolutely inelastic collision of n objects:

Use the laws of conservation of linear momentum:

$$m _ {1} \vec {V} _ {1} + m _ {2} \vec {V} _ {2} + \dots + m _ {n} \vec {V} _ {n} = (m _ {1} + m _ {2} + \dots + m _ {n}) \vec {V} _ {r e s}$$ $$\vec {V} _ {r e s} = \vec {V} _ {1} \frac {m _ {1}}{m _ {1} + m _ {2} + \ldots + m _ {n}} + \vec {V} _ {2} \frac {m _ {2}}{m _ {1} + m _ {2} + \ldots + m _ {n}} + \ldots + \vec {V} _ {3} \frac {m _ {3}}{m _ {1} + m _ {2} + \ldots + m _ {n}}$$

Additive the speeds like a vectors.