All right. So, uh, this problem So we have a spring but touched on the ground. And then we have a book. And when When the book is ah. Reached. When? When the blood reached the spring. They're attached. Okay. Ah. Okay, So the mess of the book is ah em equal to 0.25 kilograms and a spring constant k. Be quote to ah, 2.5 new to the centimeter, or it's your 50. Newt says what made a okay. And ah, so we know that when the spray So that makes the maximum comprende? The maximum compressed the distance of the spring. It's ah h equal 0.12 meters. So, uh, part, eh? I want to find out the gravitational force, the work done by the gravitational force in this process. So the work done by the gravitational force is simply mth Okay, so there's a m and G is like a gravitational constant. And here's H is gonna find out. The video is zero points. 29 Jos. Mr. Jos. Okay. And for part B, uh, we want to find out that the work done by the spring falls so ah, one the When the block reaches the lowest of the low is the place right here. So the work done by the spring ws we'll be good to have okay times h swit. But in this case, this is a negative because they're great because the forces ah is opposite to the displacement off the block. So there's a Maybe So it s okay. Ihsaa case here to 50. And H is here so you can find out the Valerie's negative 1.8 jos the night you compare this to results. You see that the work done by the springs actually smaller. I mean, the magnitude of this work is actually larger than the magnetar off the gravitational force. So the rest of you comes from the initial kind of the energy of this book. So, uh, to find out that this the initial kinetic energy we can we can use Ah Hee hee for you. Okay. The kinetic energy initial kinetic energy plus W g, which is the work done by the gravitational force equal to the work. So now they're not able to in a plus. Ah, sorry. And pause. The work done by the spring equal to zero so we can sew for the UK equal 1.51 Jos. So we're going to solve for the initial velocity B I equal to three 0.47 member second, okay, And for party. So say that if the speed at impact is doubled, what is the maximum compression of the spring? So let's say B I in this case April 22 b I So this is a new initial velocity which is doubled so equal to 66.94 made up a second. So again, we can utilize this relation. Uh, so w s equal negative UK minus w g and the Because we have a new compression at this time. So w s is a prime is the prime. This is also primed. We have Ah, negative, huh? Okay. H prime squid equal to Ah, negative. Uh huh. And the I primed squid miners this age prompt minus mg age prime. Okay, so in this equation, we can see that that we already know. Okay, we know am And we nog. So the only on little variable is this h prime you can solve. You can sell for this age Prime by by just self this equation. Ah, so h prime. You will see that equal to zero point 23 meters, okay?