Question

a block and tackle with mechanical advantage of 48 is used to lift a piano 11 m to the third floor of a building. Although the arrangement of pulleys in the block and tackle makes it easy to lift the piano, it takes a long time because the length of the rope that must be pulled to lift the piano a small amount. What is the input distance, of the rope that must be pulled?

Answer 1

528 meters

Step-by-step explanation:

In a block and tackle, the mechanical advantage can be calculated using the height we lift an object and how much rope we pulled to do it. The height we raise the object, divided by the amount of rope we pulled is equal to the mechanical advantage.

We need to lift the piano 11 m, and we know the mechanical advantage, so let's do an equation:

mechanical advantage = how much we pull / height the object goes

48 = x/11 Multiply both sides by 11

48•11 = x

x = 528 m