The momentum of the coupled cars is 0.16 kg m/s
Explanation:
We can solve this problem by using the law of conservation of momentum: in absence of external forces, the total momentum of the two cars must be conserved before and after they couple together.
Mathematically, this can be written as
[tex]p_i = p_f\\m_1 u_1 + m_2 u_2 = p_f[/tex]
where:
[tex]m_1 = m_2 = 0.04 kg[/tex] is the mass of the two cars
[tex]u_1 =4 m/s[/tex] is the initial velocity of the first car
[tex]u_2=0[/tex] is the initial velocity of the second car, which is at rest
[tex]p_f[/tex] ithe momentum of the coupled cars, after the collision
By re-arranging the equation and substituting the values that we have, we find the final momentum:
[tex]p_f = m_1 u_1 + m_2 u_2 = (0.04)(4)+0=0.16 kg m/s[/tex]
Learn more about momentum here:
brainly.com/question/7973509
brainly.com/question/6573742
brainly.com/question/2370982
brainly.com/question/9484203
#LearnwithBrainly