Answer :
Using momentum conservation
Final momentum equals initial momentum
m u + M U = (m + M) V
1500 × 1.5i + 3200 × (-8.7)j = (1500+3200)V
V = (2250i - 27840j) / 4700
When they come together, their final velocity is 0.4787 i - 5.9234 j.
The change in momentum of colliding bodies is what causes their impulses. As a result, for colliding bodies, changes in momentum are always equal and opposing. When one body's momentum increases, the other's momentum must decrease by an equal amount. The momentum is always preserved as a result.
The principle of momentum conservation argues that within a given problem domain, momentum is never created nor destroyed but only modified by the action of forces as they are represented by Newton's laws of motion.
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