Question

1. A woman pulls the rope on a pulley with a force of 61.4 N to lift a box. She pulls 12

meters of rope. The box weighs 118 N and is lifted 4 meters off the floor.
Calculate the W₁, Wo, and efficiency of the pulley system. Also, determine how much
input energy was converted to frictional heat.

Answer 1

Let's take a look at the components of the pulley system:
Input Force: 61.4 N
Displacement of rope: 12 m
Output Force: 118 N
Output Displacement: 4 m
We can use these values to calculate the work output and the efficiency. First, we use the following equation to calculate the work produced by the woman:
Work (w) = force (F) * displacement (s)
We substitute the input force and displacement values, and the work comes out to be 742.8 J.