A pulley system lifts a 500-lb block 1.0 foot with an effort of only 50 lb. If the 50 lb moves 30 feet, calculate the efficiency of the pulley system.

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To calculate the efficiency of a pulley system, we need to use the following formula:

Efficiency = (output force / input force) * 100

In this case, the output force is the weight lifted, which is 500 lb, and the input force is the effort required to lift the weight, which is 50 lb.

Given that the output distance is 1.0 foot and the input distance is 30 feet, we can calculate the output force using the concept of work done:

Output force = (Work done / Output distance) = (Input force x Input distance) / Output distance

Using the equation above, we can plug in the given values:

Output force = (50 lb x 30 ft) / 1.0 ft = 1500 lb

Now we have the output force (1500 lb) and the input force (50 lb), we can substitute those values into the efficiency formula:

Efficiency = (1500 lb / 50 lb) * 100
= 3000%

Therefore, the efficiency of the pulley system is 3000%.