Action-reaction And Momentum Conservation Worksheet Answer Key (PREMIUM ◆)

v 1 f ​ = 5 m/s

A 2 kg object is moving at 4 m/s to the right. It collides with a 3 kg object that is moving at 2 m/s to the left. If the objects stick together after the collision, what is their final velocity?

where \(m_1 = 2\) kg, \(v_{1i} = 4\) m/s, \(m_2 = 3\) kg, and \(v_{2i} = -2\) m/s. v 1 f ​ = 5 m/s A

Let’s use the law of momentum conservation:

2 ( 4 ) + 3 ( − 2 ) = ( 2 + 3 ) v f ​ where \(m_1 = 2\) kg, \(v_{1i} = 4\)

2 = 5 v f ​

5 ( 3 ) + 2 ( 0 ) = 5 v 1 f ​ + 2 ( − 5 ) where \(m_1 = 2\) kg

m 1 ​ v 1 i ​ + m 2 ​ v 2 i ​ = ( m 1 ​ + m 2 ​ ) v f ​