To determine how much buoyant force is needed to make the to float. We first and all of the forces acting on it. So we need to determine the boy and force. In this case, if we draw all the forces until on this cylindrical tube we have that only it volume force. And wait are up in on these cylindrical tube.
Then apply Newton's second law. We assume all of these forces. And we obtained that the fully enforced minus the weight is equal to in this case because the tube is in equilibrium. There is no net force update on it. And then we obtain That the Volume four must be equal to the weight of any liquid.
It is of any liquid. It is in this tube. No. To obtain the bowl liam, we must remember that the boy import is defined as D the city of the liquid times the volume displaced by this liquid, by the math and the consideration of gravity. Using the previous resolved we know that the boy is ultimately went and and finally stopping for the volume we obtained that the volume is equal to they weighed.
Mhm density times the acceleration of gravity. A boolean is blazed by acid. We use the way given the information given for the wade which is to your own when Gade Gade I was sent to the minors to mutants and the acid density, which is in this case. And the value of the consideration of gravity. We don't obtain that the volume displaced by as did it 4.7 I stand to the minus sets nature, cute.
No, in the case, uh the undo freezer we have that the same weight because it is the same cylindrical tune bad. The density changes it is this the density of the under freezer and the separation of gravity from these. We obtain a value of fine poin 59. I'm stan to the minus its return as quickly. Then from these we know that the volume is placed by the anti freezer is greater than the volume displaced by acid.
Finally to obtained. They hate they hate the I hate that the cylinder called tube reaches when it is when there's is filled with a deep freezer or acid, calculate this. We must remember that the volume is variant times. Hey, in this case the area of the crow sexual audio of the cylindrical to an age. The hate of that sooner part of it then from our equation of it, the buoyant force is equal to the weight we can obtain.
We know that wrong. We're not that uh, the volume force is equal to density times B. It's the acceleration of gravity is equal to that weighed now we substitute these into these and we obtained and and if we solve for behave, we obtain God Hate is able to the weight both murdered density, conceptual barium and this generation of property. Then we know all these values and or acid. We have the weight which is the same over in the city of acid.
The gross optional area is also given for this problem. And the acceleration of gravity. Then for these, we obtain A Volley of Fine 97 times 10 Today -2 m. On the other hand, or the anti freezer, we have the same weight. And the only thing that changes is the density of the antifreeze ERT, which is The cross sectional area is the same because cylinder Co two is the same and the acceleration of gravity.
These are the best About the of 7.12 I was turned to the -2 features. We can see from here that the herd mark and the tube corresponds to the anti freezer and the lower one corresponds to the mark of the acid..