Alan will use a two wheel compound pulley to lift a crate from the floor of his garage to a storage shelf. The shelf is 5 meters above the floor. Alans pulls 10 meters of rope to lift the crate. Which statement is correct?(1 point)

Question

Responses

Alan uses one-third the force he would have needed without the compound pulley
Alan uses one-third the force he would have needed without the compound pulley

Alan uses one-half the force he would have needed without the compound pulley
Alan uses one-half the force he would have needed without the compound pulley

A two wheel compound pulleys will double the weight of the object Alan is lifting.
A two wheel compound pulleys will double the weight of the object Alan is lifting.

Alan has to use three times the force he would have used without the compound pulley

Answer 1

To analyze the situation, we need to understand how a compound pulley system works. In a two-wheel compound pulley system, the amount of force needed to lift a weight is reduced compared to lifting the weight directly.

The mechanical advantage of a compound pulley can be calculated based on the amount of rope pulled versus the height lifted. In this case, Alan pulls 10 meters of rope to lift the crate 5 meters. This means that for every meter the crate is lifted, Alan pulls 2 meters of rope.

The ratio of the distance Alan pulls to the height he lifts is 10 meters of rope pulled for 5 meters lifted, or 2:1. This indicates that the mechanical advantage is 2, meaning the force needed is halved.

Thus, Alan uses one-half the force he would have needed without the compound pulley.

Therefore, the correct statement is:

Alan uses one-half the force he would have needed without the compound pulley.