Answer:
[tex]v_2=-1.308\ m/s[/tex]
Explanation:
It is given that,
Mass of cart 1, [tex]m_1=0.44\ kg[/tex]
Mass of cart 2, [tex]m_2=0.74\ kg[/tex]
Speed of cart 1, [tex]v_1=2.2\ m/s[/tex]
If the total momentum of the system is zero, the initial momentum is equal to the final momentum as :
[tex]m_1v_1=m_2v_2[/tex]
Let [tex]v_2[/tex] is the initial speed of cart 2
[tex]0.44\times 2.2=0.74v_2[/tex]
[tex]v_2=-1.308\ m/s[/tex]
Initial speed of the cart 2 is 1.308 m/s and it is moving in opposite direction of the cart 1.
