00:01
Hi there, so for this problem, we are told that an 8 kilograms object, it's labeled that as capital m, 8 kilograms object, with a velocity, so its initial velocity is equal to 5 in the x direction meters per second, and it flows into two fragments of equal mass.
00:31
One flies off with a velocity, so let's say that the velocity, of one of this is three in the ad's direction and two in the wide direction.
00:48
Now, having this, we know that the mass, this is half of this because the problem says that, and the mass of two is also four kilograms.
00:57
So what we need to determine is the velocity of this outer fragment that we're going to label as b2.
01:03
So for this, we can use conservation of momentum, so that will be that the initial momentum equals to the final momentum.
01:11
So the initial momentum is just the mass of the object before the explosion, this times its velocity, and this equals to the final situation where we now have two objects.
01:31
So that will be the mass m1 times its velocity plus the mass m2 times its velocity.
01:36
So we just solve for the velocity 2.
01:41
So the velocity 2 is the total mass times the initial velocity minus the mass m1 times the velocity b1, this divided by the mass m2...