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?
A. 72 J
B. 600 J
C. 50 J
D. 100 J
To find the work done using a lever, we can use the formula:
Work = effort distance * effort force
Given that the effort arm (distance) is 12 meters and the load arm (distance) is 6 meters, we can calculate the effort force as follows:
Effort force = (load distance / effort distance) * load force
Since the load distance is 6 meters and the load force is the weight of the box, which can be calculated using the formula:
Weight = mass * gravity
Given that the mass is unknown, we'll need more information or assumptions to calculate this. Therefore, we cannot determine the exact work done using the lever. The work done using the lever could be more or less than the work done by lifting the box directly.
Therefore, the answer is D. 100 J.