Alan will use a compound pulley to create a lift from the floor of his garage to a storage shelf. the shelf is 3.5 meters above the floor Alan pulls 10.5 meters of rope to lift a crate. which statement is correct
alan uses three tomes the force he would have used without the compound pulley
alan uses the same amount of force with the compound pulley as he would without it
alan will save work by using the compound pulley
alan uses one third the force he would have needed without the compound pulley
its D
Thank you so much!
To determine which statement is correct, let's understand how a compound pulley works and how it affects the force required to lift an object.
In a compound pulley system, multiple pulleys are used in combination to increase the mechanical advantage, making it easier to lift heavy loads. Each pulley redirects the force applied, resulting in a trade-off between the amount of force required and the distance over which it needs to be applied.
In this scenario, Alan is using a compound pulley to lift a crate to a storage shelf. The height of the shelf is given as 3.5 meters, and Alan pulls 10.5 meters of rope to lift the crate.
Statement 1: Alan uses three times the force he would have used without the compound pulley.
This statement is incorrect. A compound pulley system does not require three times the force. In fact, it is designed to reduce the amount of force required.
Statement 2: Alan uses the same amount of force with the compound pulley as he would without it.
This statement is also incorrect. If Alan used the same amount of force, he wouldn't be able to lift the crate to the shelf because the mechanical advantage of the compound pulley system is specifically designed to make it easier to lift heavy loads.
Statement 3: Alan will save work by using the compound pulley.
This statement is correct. By using a compound pulley system, Alan will indeed save work compared to lifting the crate without it. The mechanical advantage of the compound pulley system reduces the amount of force required, allowing Alan to lift the crate with less effort.
Statement 4: Alan uses one-third the force he would have needed without the compound pulley.
This statement is incorrect. While the compound pulley system reduces the amount of force required, it would not necessarily result in requiring one-third of the force. The exact amount of force reduction depends on the specific mechanical advantage provided by the compound pulley system.
Therefore, the correct statement is: Alan will save work by using the compound pulley.