In this fusion given that it is that is there is a figure you want. So first, I will draw this figure. So in this difficult, there is a hard surface given and on this hard surface there are two block is given. So first block having mass that is Given in the occasion, that is two KK. And uh, similarly 2nd block is Having same us, that is two KK. And there is a spring is attached to second block. And now in the question is saying that initially they both are left, but after some time, this first block is going in this direction with the velocity that is given one m per second. So in the cushion, it is asking that we have to find the maximum compression of the spring. And in the confusion, the spring constant is given that is equal to 100 newton per meter. So this data is given. Now let's start answering this fusion. So in the answer, I will say that the mass of block is first. For first block I considered must be relatedness. That is M. A. Is equal to two Kg. And for a month of second block that is MB will recognize that is two kg. Now initial velocity five first block will be written as that is the A. Is equal to There is one m/s, an initial velocity. Yeah, for second block will be recognized that is zero because the second block is A. I consider that is maybe is equal to zero because the second block is you can see that it is at rest position. So here I had written the value that is equal to zero. Now in the collection is being constantly is given that is K. Is equal to 100 newton per meter. So no next to peace. As you see in the figure. This first blog is trying to move with one m per second in this direction and taking a coalition with second block which is initially attached position. So after coalition, the first block, the four first block, the velocity is going to decrease continuously. And at the instant of time the wall system that is first block and this spring and the second block most together with calm university that is I considered that is considered capital. We So I can see that here. I will write that is after the collision wall system. Mhm. That is block West block. Yeah, let's spring plus second block. Yeah. Move together. Mhm. With a common well city, which I said that capital we here, I had assumed this. So now next to bees here, I am using the law of energy conservation of energy. So apply the law of conservation of energy. That we say that total kinetic energy before collision will be equal to total kinetic energy after collision plus spring energy. So the left side were written as that is total kinetic energy before poisoned. It is files. M A. Yeah plus sorry, M V A square plus half N B B B square is equal to have M. A. We squared plus half M A V square for the MVV square. Yeah. Plus the spring energy that is Have KX two. Yeah. So now simplified. So your ex is it compression? You can understand that here. Excuse you compression of his being When the first block is trying to collide with the 2nd block. So no next to these years have to read the data. Then it will be returning after substituting. I can say that the left side will be written as that is half multiplied by MTV A square will be that is two multiplied by one is square plus half M B b b square. That will witness series two multiplied by zero square is equal to half M. E will be there is two multiplied by ear in both terms on the right side, on the first boat term I will take the square common so and decide. Well written. I said this half M A plus half empty. So after putting the value, I can sit at a half, multiplied by two plus half, multiplied by two. Yeah. And outside we wait and I said yes, we square plus half now case given that it's been constant value is that is 100 multiplied by X square. Simplify it. Then I will get the equation that is after stalling one minus two. Z squared is equal to 50 k 50 x square. So this is a question number one. No. As you see in the figure, there is no action force is acting in order gentle direction. That miss. I can say that here momentum is conservative. So apply the second law that is law of conservation of momentum. So according to this law, the next step will be written is that is initial momentum will be equal to final momentum. So it means initial momentum. That is M. A. Plus we A sorry mm. Multiplied by V. A. Plus MB. Multiplied by B. B is equal to pantages of M plus M. B. Multiplied by capital. We no simplify it by capturing the data. Then it will be tennis after south shooting the value. No next step will be that is and maybe a means to multiply it by one. Plus MB will be that will be two multiplied by zero is equal to advantages of mm plus MB. That means two plus two multiplied by capital. We not simplify it. Then I will get the value of capital weed that is equal to After installing value said his half meter per second. So no I can see that. This is a question # one and This is a equation number two. So by using this equation number one and equation number two the next stable brightness That is here. What I'm doing is putting the value of the from a question number two two. in equation number one Then it will be written is it is 1 -2. We square. It means yeah from equation number yeah yeah two put the value of the yes yes in equation number one. So it will be written. That is a result is one month two weeks square means one minutes two multiplied by half. His square is equal to X 50 X square. So now simplify it. Then I will get the compression of a spring that is X. Is equal to okay after stalling, I will get that is X. Is equal to then Sorry, 1/10 meter. Or I can see that in centimeter. It will witness that is X is equal to X. Is equal to hunt. Sorry, 10 centimeter. So this is the answer of given question. That is maximum compression of a spring will be Yeah, that is X will be equal to or I can see that actually equal to there is 1/10 meter or I can see that 100. Sorry, 10 centimeter. So I had sold the fusion completely. Thank you.