600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters?(1 point)
Responses
72 J
72 J
50 J
50 J
100 J
100 J
600 J
The correct answer is 100 J.
Using a lever with a longer effort arm and a shorter load arm would require less force to lift the box, but the same amount of work would still be done. The formula for work is W = F * d, where W is work, F is the force applied, and d is the distance over which the force is applied.
In this case, the work done is given as 600 J when the box is lifted directly. If a lever is used with an effort arm of 12 meters and a load arm of 6 meters, the force applied on the effort arm would be half of the weight of the box, due to the lever's mechanical advantage.
Therefore, the force applied would be 600 J / 6 m = 100 J.
Therefore, the work done would be 100 J.