Thank you. Consider a scenario call this scenario Part One. So in Part one, we have this nebulous mass, which is my attempt at drawing an asteroid Absolutely one of the better, more accurate drawings I've made. So we have force that acts on this asteroid. All this asteroid is traveling some displacement distance and rest. Variety of questions about it. First we want to consider um, which direction is this force in? So the asteroid's close down. Okay, so it stands to reason. Yeah, that's a little bit read skeptical of the youth drawing. It stands to reason that the work must be done in the opposite direction. Okay. Mhm. Now if I pushed in say the same direction that the asteroid is already going, it's conceivable that would be pushed forward. No. Is the factor of course is a positive or negative. Now, you know, the properties of factors vector that points outward that is considered a positive vector, whereas a vector that points inward that's considered negative. This is just by convention through a vector addition or multiplication vector that is negative. It's being subtracted if it's pop pointing outward it's positive. In this case our voice for force it's directed on the asteroid. Therefore points inward. It is negative party. Alright, okay. How does what type of energy changes as the object slows so familiar with the con on survey. Thank you. Energy is conserved throughout a system in which kinetic energy and potential energy are considered not not a whole lot else. So there's potential energy doesn't mean anything because there's no gravitational force out there. On the other hand, kinetic energy still means something. So traditionally kinetic energy on earth may as well just be a um half the mass times velocity squared. However in space you have a change of velocity so it's V. Two you want squared So we know that this component is changing as a result of the asteroid getting hit. So Connecticut is the energy. That is the fact that let's consider part day. Okay, what is the relation? Okay. How is how does the work done by the forest change the objects energy? Well, we refer to our answer from part from previous part. It changes kinetic energy and the effect was that this asteroid slowed. So the effect is that it decreases kinetic energy. Yeah. Now let's worry about cartoons cartel were given a variety of bits and pieces of information, all of which are still related to this asteroid. Mhm. All right. Mass of the asteroid is 45 times and fourth kilograms. The velocity of the initial velocity 7100 m per second. Uh This is the speed velocity Excuse me before. Well, the asteroid is hit by this other object or the sports tax on it. So after after for the velocity goes down to 5500 meters per second. So, let's find the work done by this force. Mhm. Yeah. Okay. So, conservation of energy equation. Kinetic energy plus opportunity and potential energy. You're well, you're not consider potential energy here because there is none gravity. Nothing change in kinetic energy 20 Yeah. All right, mm hmm. Now, let's consider what happens to the change in kinetic energy. Actually, it's not really equal to here. No, thanks. Yeah. Oh, no, I don't understand the kinetic energy. Part of the kinetic energy would be transferred to whatever is doing the force. So, that's why the kinetic energy would be concerned with this case here. But we are just considering the change in kinetic at energy of the asteroid. Okay. Call that has changed kinetic energy subscript asteroid. That's a better way to put it. Mhm. The change in kinetic energy of the asteroid. All right, let's go. So, the train kinetic energy of this at Detroit, it's called changing K E. Subscript A. Mhm should equal one half mask. I'm change velocity while she squared. So we know that the work done by this force is this change in kinetic energy. So let's just say changing the change in kinetic energy of the asteroid people is going to have massive times change in the last week. Let's go ahead and enter our quantities for this. Yeah, you should find its uh 4.5 cents the floors kilograms 7000 grip. It is 5500 for a second. Zero over there. A little bit difficult to read. Here we go. Anyways. Thanks for that. Should find that your solution for changing needs equal 2 36 mega drools. Remember this mega here. That's just in our six and it's being multiplied by about 36 to give us that money baggage rules. Now for the last part of this question, we're asking what is the force that actually this asteroid? Given that the distance traveled, it's about 1.8. Find 10 to 6 which is a long dream. That's a bit long. Okay, so we know that or force times distance. So, if you want your answer for force you take the work down or the change in energy in this case to buy a bike. All right, Acting that you subsequent day in my original location. Indeed, I did force acting on the object. Let's say change in. Yeah, Yeah. Let's go ahead and write this fire equal. So that just leaves us with our answer from the previous part, which was 36 meghan over 1.8 times 10 to the six. Yeah. Meters. Which if you calculate it should come out to be Newton's. Yeah. I like your answer for part B.