Question

cathy, a 460n actress, is hoisted above the stage by a stagehand pulling with a force of 60n on a rope wrapped around a pulley system. What is the actual mechanical advantage of the pulley system?

Answer 1

The actual mechanical advantage (AMA) of the pulley system used to lift actress Cathy is approximately 7.67, indicating that the system multiplies the effort force applied by the stagehand significantly to lift the actress.

Step-by-step explanation:

The student's question pertains to the actual mechanical advantage (AMA) of a pulley system. In this scenario, actress Cathy who weighs 460N is being lifted by a stagehand who is applying a force of 60N using a pulley system. To calculate the AMA for the pulley system, we use the formula:

AMA = Load Force (Resistance) / Effort Force

By substituting the given values:

AMA = 460N / 60N = 7.67

Therefore, the actual mechanical advantage of this pulley system is approximately 7.67. This implies that for every Newton of effort force applied, the system exerts 7.67 Newtons in lifting the load.