You set up a pulley to help you lift something. You anchor the rope at one end and arrange a moveable pulley to achieve a mechanical advantage of 2. By the time you have lifted the object 5m off the ground how much rope have you pulled through the pulley? 10m because 2x5= 10?
Yes, you are correct. Since you have arranged a movable pulley with a mechanical advantage of 2, for every 1 meter you pull, the object will be lifted by 2 meters. Therefore, to lift the object 5 meters, you need to pull the rope through the pulley for a total distance of 10 meters (5 meters lifted x 2).
No, the calculation is not correct. In a setup with a movable pulley that achieves a mechanical advantage of 2, you only need to pull half the length of the distance the object is lifted. So, if you have lifted the object 5m off the ground, you would have pulled 2.5m of rope through the pulley.
The mechanical advantage of 2 means that for every 1m the object is lifted, you only need to pull 0.5m of rope. So, for a 5m lift, you would need to pull 0.5m of rope for each of the 5m lifted, totaling 2.5m.