A 10 kg object with a velocity 7.5i m/s explodes into two equal fragments. One flies off with a velocity 2.5i -2.5j m/s.

What is the velocity of the other fragment in vector notation?

4 answers

initial momentum = mV = 10(7.5 i + 0 j)
= 75 i + 0 j

final momentum = 5(2.5 i -2.5 j)+ 5(Vxi+Vyj)
= (12.5 +5Vx) i (-12.5 +5Vy)j

final momentum = initial momentum
x direction:
12.5 + 5 Vx = 75
Vx = 12.5

y direction
-12.5 + 5 Vy = 0
Vy = 2.5

so V = 12.5 i + 2.5 J
thank youuuu so much for the explanation :D
You are welcome :)
Amazing simplicity. You have a talent