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
100 J
600 J
50 J
The work done by a lever can be calculated using the formula:
Work = Force x Distance
To find the work done with the lever, we need to first determine the force applied using the principle of moments.
The principle of moments states that the moments on each side of a lever are equal. The moment is calculated by multiplying the force applied by the distance from the pivot point.
In this case, the effort arm is 12 meters and the load arm is 6 meters. The weight of the box acts as the load, and since the box is lifted vertically, the moment due to the weight is equal to the work done to lift the box.
Thus, we can set up the following equation:
Force of weight x 6 meters (load arm) = 600 Joules
From this equation, we can solve for the force of the weight:
Force of weight = 600 J / 6 m
= 100 N
Now that we have the force applied using the lever, we can calculate the work done:
Work = Force x Distance
= 100 N x 12 m
= 1200 Joules
Therefore, the work done if a lever were used with an effort arm of 12 meters and a load arm of 6 meters would be 1200 Joules.
The correct response is 1200 J.
you're wrong . please choose an answer.
A. 72 J
B. 100 J
C. 600 J
D. 50 J