00:01
Hi there, so for this problem, we're told that a toy card with the mass that is given in that math, we're going to call lowercase m, is equal to one kilogram.
00:16
And it starts from rest, so that means that initial speed is equal to zero at the top of a ramp at a point a.
00:22
Now, the toy car is released from rest.
00:27
Rolls two meters down the ramp, then another three meters across the floor.
00:32
So that complete distance is going to be five meters.
00:39
And to the point b, where its speed is measured.
00:44
So we are given the final speed.
00:46
We're going to call just simply a speed, and that is equal to 4 .24 meters per second.
00:53
The area that is a resistance force that is also given that resistance force is two newtoms.
00:59
On the cart, as it moved from the point a to the point b, so we need to find the initial height of the current.
01:04
Card at the point a.
01:06
So we need to find that height.
01:08
We need to assume that the acceleration due to gravity is 10 meters per second square.
01:15
Now, with that said, what we need to use is the conservation of energy.
01:21
We know that the conservation of energy states that, well, the energy theorem works, the word energy theorem states that the change in the potential energy, yes, the potential energy plus the change in the kinetic energy is equal to the word done.
01:41
Where the word done in this case is the force that we are given times the distance.
01:47
But we know that this force is in the opposite direction to the direction of motion.
01:52
So we need to add a minus sign in there...