00:08
Okay, so in this question, you're driving in a car with your friend, and you're thinking which way you want to turn to make your friend represented by this blue dot move closer to you.
00:19
So we're going to think about two principles of this.
00:21
We're going to think about the law of inertia, and we're going to think about different reference frames.
00:26
So, for instance, if you turn your car to the right, the law of inertia says that your friend's body in the reference frame of the street or in the reference frame of the world will want to continue.
00:40
Moving straight.
00:46
So if you turn the car to the right, your friend's body will end up closer to you.
00:56
The second part of this question is that we are given the coefficient of friction mu, and we're given the car's velocity.
01:05
And with that information, they want us to find our max, or the largest radius of a turn that we could make in the car.
01:13
So from newton's second law, we know that the sum of the forces is equal to mass times xx.
01:21
Which in this case, since the car will be turning in a circle, we can just consider centripetal acceleration...