A projectile flying at a speed of 200 m / s exploded into two parts weighing 40 kg and 60 kg.

A projectile flying at a speed of 200 m / s exploded into two parts weighing 40 kg and 60 kg. The second fragment was moving at a speed of 400 m / s in the same direction. At what speed and in what direction did the first splinter move?

Let’s determine what the mass of our projectile will be equal to:

40 + 60 = 100.

Let’s determine what the impulse of the projectile will be when its speed is 200 m / s:

200 * 100 = 20,000.

Let’s determine what the impulse of the second fragment will be, knowing that it flies in the same direction as the projectile:

400 * 60 = 24000.

Let us determine what the momentum of the first fragment is equal to:

m0v0 = m1v1 + m2v2;

m1v1 = 20,000 – 24,000 = -4000.

That is, it flies in the opposite direction.

Then its speed:

4000: 40 = 100.

Answer: He flies in the opposite direction at a speed of 100 m / s.