A moving company wants to lift a piano to the second story of a house and has three pulley set ups to choose from
to make the task easier. Each pulley set up has a different mechanical advantage.
Pulley set up 1 has a mechanical advantage of 2.
Pulley set up 2 has a mechanical advantage of 3.
Pulley set up 3 has a mechanical advantage of 5.
To determine which pulley set up is the best choice, the moving company needs to consider the weight of the piano and the effort required to lift it.
If the piano weighs 500 pounds, the moving company would need to exert an effort of 250 pounds using pulley set up 1 (with a mechanical advantage of 2). This means they would only need to exert half the force to lift the piano.
Using pulley set up 2 (with a mechanical advantage of 3), the effort required would be 166.67 pounds (500 divided by 3). This means they would need to exert less force compared to pulley set up 1.
Using pulley set up 3 (with a mechanical advantage of 5), the effort required would be 100 pounds (500 divided by 5). This is the lowest effort required among the three options.
Therefore, pulley set up 3 with a mechanical advantage of 5 would be the best choice for the moving company to lift the piano to the second story of the house.