00:01
Hi there, so for this problem, we are told that a 1 ,000 kilograms car, so let's label this as lowercase m.
00:17
And then it is traveling west, so the velocity of this car, it is, we're going to set the west to be negative.
00:27
So that will be minus 17 meters per second.
00:30
While we have a trunk with a mass of 1 ,500 kilograms with a velocity that is positive, well we're going to set this in the ad -s eruption for the car and for this trunk as it is moving north that's why it's positive and it is in the wide direction now once we have this the question for this problem well we're told that they stick together and the question is what is the angle of their velocity after the collision relative to the east eruption.
01:07
For this we need to use first conservation of momentum in a better form.
01:12
So the initial momentum since both cars are moving are in both objects that are moving is the mass of the car times its velocity.
01:22
This plus the mass of the tromb times its velocity.
01:27
And then this equals to the velocity of both since they are now moving together and then this times the sum of those two masses so then now we just solve for this velocity that will be then we just divide this by the sum of these two masses so that will be the mass of the card that is 1 ,000 times its velocity that is minus 17 in the ex -ruption then this plus the mass of the tron that is 1 ,000 and and 500 times its velocity and then this divided by the sum of the masses that will give us 2 ,500.
02:20
So simplifying this, this will be minus 34 divided by 5 plus, well, that in the x disruption, this plus 12 in the y direction.
02:34
Now once we have this, we need to, well, we know that this pettor should be about here.
02:47
So since we need with respect to the east direction, we need to calculate well, first we calculate this angle in here, and then we do 180 degrees minus theta to obtain this angle in here with respect to the east...