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the situation, before collision is:
|dw:1433610623171:dw|

ok!

so, total momentum is:
\[\Large {m_1}{v_1} - {m_2}{v_2} = 1 \times 5 - 2 \times 7 = ...\]

ok! so we get 5-14? = -9 ?

minus sign, means that the vector of the resultant momentum is oriented towards west

ohh okay! so -9, meaning 9 m/s to the west is the velocity of the 1st ball after collision?

no, -9 is the magnitude and sign of the resultant momentum

ohh okay! so it's like this?
5-14=-9 =resultant momentum ?

ok! so we get this? 61.5 ?

ok! correct!

now let's consider the situation after the collision

ohhh so 61.5 is just the KE right? so we solve for velocity now? :/

|dw:1433611229406:dw|

no, we have to apply the conservation of total momentum first

oh ok! how do we do that?

I call with u the speed of the first ball after collision

ok!

what is u?

-16?

oh! so u=-16?

16 m/s to the west?

correct!
that means the first ball, after the collision is goinf towards west

going*

ahh so that is our solution? :O

yes!

yay!! thank you!:D