Okay, So, uh, this problem we have the set up showing here and in part A We want to Ah, let me see. So in part we want to find out Senator, regional, blah gay. At the moment it is released from the rest from the initial position, so we know that it is compressed by one over four times our way. So according to the Hawks law before is acting on the block is the Well, we're four times l a times K this sequel, sometimes a right. So the initial acceleration is ah ah que el over full Em and Inbee say's that Ah, we want Thio. Ah. So if the V winds have lost a block one before impact showed at a velocity of ah, the velocity book one just after impact is 1/2 B one. So because according to a problem, we know that the only half of the kind neck energy is transferred into block too. Right? So, uh, we see that Ah ah, I'm sorry. 0/2 off. The kind of energy is transferred into heat so only half off the continental energy is transferred into the mechanical energy. Right? So we have half times have Ah and be one squid. So this means half off the initial kind of energy. It kuo of envy One prime squared plus half and the two prime squid. Excuse me. So if you want me to me, is the velocity off? Ah, block one block to after the collision. So this is Ah, this is the energy Conservation Hall And then we have the moment of provisional. We have m times the one equal Sometimes we own prime plus end times made to prime. Right? So we have this too quick. We have this two questions and only at well, nonverbal is the view on prime the way to prime. So if you solved this two equations, we will You will pretend that the view in front equal v to prime equal have everyone all right and in part See, we want to show that to the also Asia attitude after the cliche So before the collision we know that Ah, we have a relation half k time's a squid which is the end which is the potential energy stored in the spring Equal half and be one squared. So this is the before percolation. Okay, So you will attend that, eh? Which is the attitude? A call? Sorry. Ah, no, we did not obtain from here Way, Captain. The attitude, the way up to an aptitude from the problem himself. So it's well over four times out, Ray and ah, after the collision and we have relation. Okay, A prime squid, which is the amplitude after the after the collision. A cool half times ofem be one Squitieri. So because hobbled energy is transferred into heat only Ah, half of the energy is kept in the kind of in a modicum mechanical energy. So we have to That's a prime equal. One over squared two times A. Alright, so this gives you what? Over full. You know, I score two comes out and d want to know the period after location. So we know the period only depends on it Has the expression and over case where route times to pirate. So you can say that to the only depends on the mass of the block and, uh, the end of the okay. Sorry and the this bring constant ray and ah, because ah ah yeah, Because because the mess does not change before and after the collision. So we see that Ah ah t prime after the collision, actually equal to note. All right. Actually, equal toe the period before the collision, and e Ah. So anyway, we want to find out. Ah, we want to find out that Ah, greasy the expression of our in terms off. Ah h k o m g. So, uh, Ari's, uh are you so this does That's right. So, uh, we can, firstly, find out the total time off the flight. So we have half gt squared, equal edge. So we pretend that at the time of flight t equal square root to H over G. Okay. So we can tend the displacement horizontal, which is Ah ah v one sort of half the one. Because as we obtained a part B, we have tended the veto. Prime is also happy. One, Marie. So how the wise the is the loss of your block to after collision? Ah, half the one ah times. T people are right, and we plug in expression for the tea and also wish you're plugging the expression full V one. All right, so, to attend the expression of you want winning the utilize this expression we have off. Okay? A squid equal half m times the once great ray. So this gives us V one equals square root k over m times, eh? Or it becomes times went over four times. L. Okay, so Ah, the total time started. Art becomes half times V one times. T it call half times square root k over an times over full. L and T is Ah, he's right here is go to H over G square, root to age her to a J or a G. So this is a funny expression for the are Okay, so this equal one over a thing and ah times l and square roots two K eight over mg, okay.