Calculating Weight of Load Using Lever Force - 65 Characters

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To calculate the weight of a load using a lever, the work done by the force must equal the work done on the load. The 50-N force moving down 1.2 m creates 60 N-m of work, which can be used to find the load's weight since it rises 0.2 m. The relationship between the distances moved by the force and the load helps determine the load's weight. In the hydraulic machine scenario, the force exerted by the large piston can be calculated using the ratio of the distances moved by the pistons. Understanding these principles of work and force is crucial for solving both problems effectively.
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Homework Statement


A lever is used to lift a heavy load. When a 50-N force pushes one end of the lever down 1.2 m, the load rises 0.2 m. Calculate the weight of the load.I really am not sure how to go about this. I realize work = fd but calculating the weight is where i get lost.

Also, I had a question about:

In the hydraulic machine shown, it is observed that, when the small piston is pushed down 10 cm, the large piston is raised 12 cm. If the small piston is pushed down with a force of 100 NB, what is the most force that the large piston could exert?

Here I am completely lost.
 
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What does it mean to lift up the other weight? Are you performing work on it? And how much work did the 50 N force create moving through 1.2 m? Those units are in N-m so that should be a clue. And if you did that much work to the other end of the lever and you know how far it moved then you should know the weight.
 
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