room of levers
You are approaching the second door. It is the place where Leonardo used to study the functioning of levers in order to build correctly working scales and catapults.
You are approaching the second door. It is the place where Leonardo used to study the functioning of levers in order to build correctly working scales and catapults.
The Morus asked him to build up machines to win the war he was fighting.
The Morus asked him to build up machines to win the war he was fighting.
Leonardo, to protect this part of his laboratory, in a hurry, designed an opening mechanism. A lever was used to decide whether the door should be opened or not. Fortunately, you found a scroll where a gentle ghost saved the clue to use the lever. If you solve it, you can make you and your friends free!
Leonardo, to protect this part of his laboratory, in a hurry, designed an opening mechanism. A lever was used to decide whether the door should be opened or not. Fortunately, you found a scroll where a gentle ghost saved the clue to use the lever. If you solve it, you can make you and your friends free!
You see a wood plank on a fulcrum. On the right side, at 1.5 meters from the fulcrum, there is an iron sphere whose radius measures 5 cm (remember that the volume of the sphere is V=(4/3)πr^3). You can't move the sphere, but while you are trying to move the plank, you discover that the door opens automatically when the plank is perfectly horizontal. However you have a problem, the lever is far from the door so you don't have the time to put it horizontally with your hands and then run across the door, so the only way to get out is to put a weight on the left side of the lever which balances it. For this purpose, you find a 10 kg weight you can use. Knowing that the density of iron is 7500 kg/m^3, figure out where you have to put the weight to balance the lever (the distance from the fulcrum). Give the result in meters and round it to one decimal figure.
You see a wood plank on a fulcrum. On the right side, at 1.5 meters from the fulcrum, there is an iron sphere whose radius measures 5 cm (remember that the volume of the sphere is V=(4/3)πr^3). You can't move the sphere, but while you are trying to move the plank, you discover that the door opens automatically when the plank is perfectly horizontal. However you have a problem, the lever is far from the door so you don't have the time to put it horizontally with your hands and then run across the door, so the only way to get out is to put a weight on the left side of the lever which balances it. For this purpose, you find a 10 kg weight you can use. Knowing that the density of iron is 7500 kg/m^3, figure out where you have to put the weight to balance the lever (the distance from the fulcrum). Give the result in meters and round it to one decimal figure.
Once you have the solution, as usual, go back to the Hall and open the third door!
Once you have the solution, as usual, go back to the Hall and open the third door!
