Hello everyone, welcome to this new video. I'm Valentino. Today in this new video lesson of the physics course, we'll talk about momentum and the stock market. Before we start, please subscribe to the channel, leave a like, but above all, follow the playlist that I'll leave here in the top right corner of the tab. This will allow you to follow the course by giving it a logical sense. If you need topics that I may take for granted in this video, you can immediately recover them because on your right you'll find the entire list of the course. As always, I'll leave you the link to my website in the description, where you'll find the article regarding momentum and impulse for those users who prefer to study from an article rather than watching a video. Furthermore, of course, you'll also find all the articles of all the other videos regarding the physics course. Having said that, after the intro, we'll start talking about momentum and impulse. Good evening, elders, here we are, a new lesson. As you've well understood from the intro and also from the title, today we're talking about momentum. We're precisely in the second lesson of the dynamics of the material point, and so we'll introduce what this momentum is. We'll then really hear about it ad nauseam. It 's really important then the momentum as you can see I've already spoiled two vectors what it will be then the momentum is the product of the mass and the velocity for now what do we do let's remain a little vague about the momentum because then we will really talk about it in detail so for now we just need to know this where vi and v have the same direction same direction via the momentum m the mass and v and the velocity and Newton's second law we said that the force was equal to n true where m is constant at the moment in which however the mass undergoes variations we can rewrite the force as f is equal to the derivative of the momentum divided by the derivative of time how do we get here well then m for now we can write as the derivative of the velocity times the time but am x dv which I rewrote here what it is is the momentum and therefore it is the del pata of the momentum over time so the force is equal to the variation of the momentum over time if the solved exercises that you find on the channel are not enough for you you can find in the descriptions the link to a course that I created on synonyms from the duration of more than three hours which will allow you to further practice the course to more than 500 students and therefore I look forward to them and understand what the course offers you can watch the first three lessons for free having said that let's get back to us from the formula we can obtain by doing the inverse formula that of p i.e. the derivative of the momentum is equal to the force times the derivative of time the action of a force during a time of ti causes an infinitesimal fraction in the momentum of the material world we separate the variables and integrate both sides between the various instants and therefore we obtain we don't see here yet but let's see at the moment f x tt aa which adp we integrate both 30 let's say that it is the initial time and we indicate it as 0 the chi as the final time then momentum start final mode quantity after we have let's say we solve these integrals and therefore we believe that p minus Pizarro is equal to high p with these two integrals we come to know the impulse theorem and the impulse is measured in newtons per second and therefore we have calculated the impulse theorem takes tells us that the impulse and the change in momentum in a time interval in the case in which the mass is constant the quantity in the stock market is calculated equal to m for Romanian fu 0 is equal to the delta for while if the force is constant we obtain that the change in momentum and seems the integral between 0 and you can trust the force by derivatives of time and therefore unlike the momentum and seems has the force for the difference in time this is a smattering that we will need later but we will certainly come back to it but we need to know the momentum and the impulse theorem for the next and future videos that said you will find as always in the description the link to my site where inside you will find the article reporting momentum and impulse I recommend you leave a like subscribe to the channel see you at the next video lesson bye