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7. you are traveling along a mountain road and a large boulder has bloc…

Question

  1. you are traveling along a mountain road and a large boulder has blocked your path. you find a strong pole that you use as a lever. you place a rock 0.5 m from one end of the pole to use as a fulcrum. the rest of the pole has a length of 12 m. what is the mechanical advantage of this lever system?

Explanation:

Step1: Identify effort/load arm lengths

The fulcrum is 0.5 m from the load (boulder) end, so load arm $L_{load} = 0.5\ \text{m}$.
Total pole length is 12 m, so effort arm $L_{effort} = 12 - 0.5 = 11.5\ \text{m}$.

Step2: Calculate mechanical advantage

Mechanical Advantage (MA) is the ratio of effort arm to load arm.
$MA = \frac{L_{effort}}{L_{load}}$
$MA = \frac{11.5}{0.5}$

Answer:

23