Answer:
They traveling at [tex]0.37\ m/s[/tex] in backward direction.
Step-by-step explanation:
Given mass of Ammy [tex]m_1=55kg[/tex]
and velocity is forward at [tex]v_1=3m/s[/tex]
Also, mass of Jenny [tex]m_2=40kg[/tex]
Who is travelling in opposite direction [tex]v_2=-5m/s[/tex]
Let velocity in forward direction is positive and velocity in backward direction is negative.
Also, velocity after crash is [tex]v[/tex]
As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.
Conservation of momentum says momentum before collision should equal to momentum after collision.
[tex]m_1v_1+m_2v_2=(m_1+m_2)v[/tex]
[tex](55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s[/tex]
So, velocity after collision [tex]v[/tex]≅[tex]-0.37m/s[/tex] is in opposite direction. That is the direction of Jenny.
