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The system is 100% efficient.

Step 1: Find out Mechanical Advantage so that you can find out input force

MA = input distance/output distance

= 2.5m / 4.5 m

= 0.5555555

Step 2: Find input force

AMA = output force / input force

0.5555555 = 250 N / input force

input force = 250 N/ 0.5555555

input force = 450 N

Step 3: Solve for mechanical efficiency

ME = ((output force x output distance) / (input force x input distance)) x 100%

= ((250 N x 4.5 m) / (450 N x 2.5 m)) x 100%

= (1125 Nm / 1125 Nm) x 100%

= 1 x 100%

= 100%

*** MA = Mechanical Advantage

*** AMA = Actual Mechanical Advantage

*** ME = Mechanical Efficiency

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Q: How efficient is a pulley system if an operator has to pull 2.5 m of rope to lift a 250 N pail of water a distance of 4.5m?
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