A 8.0 kg mess kit sliding on a frictionless surface explodes into two 4 kg parts, one moving at 2.5 m/s, due north, and the other at 4.5 m/s, 30° north of east. What was the original speed of the mess kit? Known equations: PM= p1m1+p2m2 I tried to give this question a shot but to no avail. I tried to switch the axis to make the problem easier, but still got the wrong answer. 8(unknown velocity) = 4(4.5kg)(cos60) + 4(2.5)cos0 adn I got 2.375m/s, but this wasn't right....so I tried it from the same perspective on the y axis 8(unknown velocity in y direction) = 4(4.5kg)sin60 + 4(2.5)sin0(this drops off) and got 1.9485m/s....this wasn't the same as the other velocity so I know I am doing something wrong....any pointers?